Question

Solve for w in the proportion.

w
54
=
88
72


w =

Answer 1

To solve for \( w \) in the proportion

\[
\frac{w}{54} = \frac{88}{72},
\]

we can use cross-multiplication. This means we multiply both sides of the equation by \( 54 \times 72 \) and simplify:

\[
w \cdot 72 = 54 \cdot 88.
\]

Now, we calculate \( 54 \cdot 88 \):

\[
54 \times 88 = 4752.
\]

So, we have:

\[
w \cdot 72 = 4752.
\]

Next, we solve for \( w \) by dividing both sides by \( 72 \):

\[
w = \frac{4752}{72}.
\]

Now, calculate \( \frac{4752}{72} \):

\[
4752 \div 72 = 66.
\]

Thus, the solution is:

\[
w = 66.
\]