To solve the proportion [tex]\( \frac{7}{8} = \frac{x}{48} \)[/tex], we need to find the value of [tex]\( x \)[/tex]. Here's a step-by-step solution:
1. Set Up the Proportion:
We are given [tex]\( \frac{7}{8} = \frac{x}{48} \)[/tex].
2. Cross-Multiply:
To solve for [tex]\( x \)[/tex], we cross-multiply:
[tex]\[
7 \times 48 = 8 \times x
\][/tex]
3. Perform the Multiplication:
Calculate the product on the left-hand side:
[tex]\[
7 \times 48 = 336
\][/tex]
4. Set Up the Equation:
This gives us:
[tex]\[
336 = 8 \times x
\][/tex]
5. Solve for [tex]\( x \)[/tex]:
Divide both sides of the equation by 8 to isolate [tex]\( x \)[/tex]:
[tex]\[
x = \frac{336}{8}
\][/tex]
6. Calculate the Result:
Perform the division:
[tex]\[
x = 42
\][/tex]
Therefore, the best answer to the question [tex]\( \frac{7}{8} = \frac{x}{48} \)[/tex] is:
D. 42
