Chapter 6.2, Problem 20E

To determine

To solve the proportion by using algebra.

Answer to Problem 20E

The solution of the given proportion is $b=40$ .

Explanation of Solution

Given information : the proportion is given as,

  $\frac{b}{45}=\frac{8}{9}$

Calculation : the given proportion can be calculated as,

  $\begin{array}{l}\frac{b}{45}=\frac{8}{9}\\ \frac{b}{45}\cdot 45=\frac{8}{9}\cdot 45\left[\text{multiply each side by 45}\right]\\ b=\frac{360}{9}\left[\text{simplify}\right]\\ b=40\left[\text{divide}\right]\end{array}$

Therefore,

The solution of the given proportion is $b=40$ .