Question
Find the unknown number in the proportion \( \frac{6}{7}=\frac{x}{129} \) Round your answer to the nearest hundredth.
Ask by Lewis Osborne. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x \approx 110.57 \)
Solution
To find the unknown number \( x \) in the proportion:
\[
\frac{6}{7} = \frac{x}{129}
\]
**Step 1: Cross-Multiply**
\[
6 \times 129 = 7 \times x
\]
\[
774 = 7x
\]
**Step 2: Solve for \( x \)**
\[
x = \frac{774}{7}
\]
\[
x = 110.571428\ldots
\]
**Step 3: Round to the Nearest Hundredth**
\[
x \approx 110.57
\]
**Answer:**
\( x \approx 110.57 \)
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Simplify this solution Extra Insights
To find the unknown number \( x \) in the proportion \( \frac{6}{7}=\frac{x}{129} \), you can use cross-multiplication. This means you multiply the numerator of one fraction by the denominator of the other fraction. So, \( 6 \times 129 = 7 \times x \). Calculating the left side: \( 6 \times 129 = 774 \). Now, the equation is: \( 774 = 7x \). To solve for \( x \), divide both sides by 7: \( x = \frac{774}{7} \). Calculating this gives: \( x \approx 110.57 \). Rounded to the nearest hundredth, the unknown number is \( \textbf{110.57} \).
