Chapter 2: Q57. (page 142)

Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{4}{9} = \frac{a}{45}$

Short Answer

Expert verified

The solution of the proportion is $a = 20$ .

Step by step solution

Step 1. Given information.

We have a proportion is $\frac{4}{9} = \frac{a}{45}$ .

To find the solution of the given proportion and then round it to the nearest hundredth.

Step 2. Apply concept.

We apply the cross-product concept and solve the given proportion.

As $\frac{x}{y} = \frac{4}{5} \Rightarrow 5 x = 4 y$

Step 3. Calculation.

Solving the given proportion using the above rule.

$\begin{array}{l} \frac{4}{9} = \frac{a}{45} \\ \Rightarrow 9 a = 4 \times 45 \\ \Rightarrow a = \frac{4 \times 45}{9} \\ \Rightarrow a = 4 (5) \\ \Rightarrow a = 20 \end{array}$

Therefore, the solution of the proportion is $a = 20$ .

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Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{4}{9} = \frac{a}{45}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply concept.

Step 3. Calculation.

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Solve each proportion. If necessary, round to the nearest hundredth.49=a45

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply concept.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{4}{9} = \frac{a}{45}$