To find the value of [tex]\( x \)[/tex] that makes the proportion
[tex]\[
\frac{25}{20} = \frac{x}{4}
\][/tex]
true, we can follow these steps:
1. Begin with the given proportion:
[tex]\[
\frac{25}{20} = \frac{x}{4}
\][/tex]
2. Use cross-multiplication to solve for [tex]\( x \)[/tex]. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. So, perform the cross-multiplication as follows:
[tex]\[
25 \cdot 4 = 20 \cdot x
\][/tex]
3. Simplify the equation derived from the cross-multiplication:
[tex]\[
100 = 20x
\][/tex]
4. To isolate [tex]\( x \)[/tex], divide both sides of the equation by 20:
[tex]\[
x = \frac{100}{20}
\][/tex]
5. Simplify the fraction:
[tex]\[
x = 5
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] that makes the given proportion true is [tex]\( x = 5 \)[/tex].
So, the correct answer is:
A. 5
