Question

Solve for w in the proportion.

20/12 = 15/w
w =

Answer 1

To solve for \( w \) in the proportion \( \frac{20}{12} = \frac{15}{w} \), you can cross-multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction:

\[
20 \cdot w = 15 \cdot 12
\]

Now, calculate \( 15 \cdot 12 \):

\[
15 \cdot 12 = 180
\]

So, we have:

\[
20w = 180
\]

Next, solve for \( w \) by dividing both sides by 20:

\[
w = \frac{180}{20}
\]

Calculating the right side:

\[
w = 9
\]

Therefore, the value of \( w \) is

\[
\boxed{9}
\]