Pregunta
Find the unknown number in the proportion \( \frac{5}{6}=\frac{x}{163} \) Round your answer to the nearest hundredth. .
Ask by Rowe Gray. in the United States
Jan 27,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( x = 135.83 \)
Solución
To solve the proportion:
\[
\frac{5}{6} = \frac{x}{163}
\]
**Step 1: Cross-Multiply**
\[
5 \times 163 = 6x
\]
\[
815 = 6x
\]
**Step 2: Solve for \( x \)**
\[
x = \frac{815}{6}
\]
\[
x \approx 135.8333\ldots
\]
**Step 3: Round to the Nearest Hundredth**
\[
x \approx 135.83
\]
**Answer:** \( x = 135.83 \)
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Simplifique esta solución The Deep Dive
To find the unknown number \( x \) in the proportion \( \frac{5}{6} = \frac{x}{163} \), you can use cross-multiplication. This involves multiplying 5 by 163 and 6 by \( x \): \[ 5 \times 163 = 6 \times x \] Calculating the left side: \[ 815 = 6x \] Next, divide both sides by 6 to isolate \( x \): \[ x = \frac{815}{6} \] Calculating this gives: \[ x \approx 135.83 \] Therefore, the value of \( x \) rounded to the nearest hundredth is \( 135.83 \).
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