To solve for \( x \) in the equation
\[ 102.5(x - 11.92) = 71.6 \]
we can start by isolating \( x \).
- Divide both sides of the equation by 102.5:
\[ x - 11.92 = \frac{71.6}{102.5} \]
- Calculate the right-hand side:
\[ x - 11.92 \approx 0.698048 \]
- Add 11.92 to both sides:
\[ x \approx 0.698048 + 11.92 \] \[ x \approx 12.618048 \]
Thus, the solution for \( x \) is approximately
\[ x \approx 12.62 \] (rounded to two decimal places).
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