Q21. - Algebra 1

Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{w}{2}=\frac{4.5}{6.8}$

Step-by-Step Solution

Answer

The value of $w=1.32$.

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c} \frac{w}{2}=\frac{4.5}{6.8}\\ 6.8\left(w\right)=\left(4.5\right)2\end{array}$

Step-3. Simplify for w .

To further simplify, divide each side by 6.8.

$$\begin{gathered} 6.8\left(w\right)=\left(4.5\right)2 \\ 6.8w=9 \\ \frac{6.8w}{6.8}=\frac{9}{6.8} \\ w=1.32 \end{gathered}$$

Therefore, the value of $w=1.32$.