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Sagot :
To solve the proportion [tex]\(\frac{25}{20} = \frac{x}{4}\)[/tex], we need to find the value of [tex]\(x\)[/tex] that makes both sides of the equation equal. Here’s a step-by-step solution:
1. Set up the proportion:
[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]
2. Cross-multiply to get rid of the fractions:
[tex]\[ 25 \cdot 4 = 20 \cdot x \][/tex]
This gives us:
[tex]\[ 100 = 20x \][/tex]
3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 20:
[tex]\[ x = \frac{100}{20} \][/tex]
Simplifying this:
[tex]\[ x = 5 \][/tex]
So, the value of [tex]\(x\)[/tex] that makes the proportion true is [tex]\(\boxed{5}\)[/tex]. Therefore, the correct answer is D.
1. Set up the proportion:
[tex]\[ \frac{25}{20} = \frac{x}{4} \][/tex]
2. Cross-multiply to get rid of the fractions:
[tex]\[ 25 \cdot 4 = 20 \cdot x \][/tex]
This gives us:
[tex]\[ 100 = 20x \][/tex]
3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 20:
[tex]\[ x = \frac{100}{20} \][/tex]
Simplifying this:
[tex]\[ x = 5 \][/tex]
So, the value of [tex]\(x\)[/tex] that makes the proportion true is [tex]\(\boxed{5}\)[/tex]. Therefore, the correct answer is D.
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