To solve the equation \( 102(x - 11.92) = 71.6 \), we'll start by isolating \( x \).
First, divide both sides by 102:
\[ x - 11.92 = \frac{71.6}{102} \]
Calculating the right side:
\[ \frac{71.6}{102} \approx 0.7 \]
So, we have:
\[ x - 11.92 \approx 0.7 \]
Next, solve for \( x \) by adding \( 11.92 \) to both sides:
\[ x \approx 0.7 + 11.92 \]
This gives:
\[ x \approx 12.62 \]
Rounding to three decimal places:
\[ x \approx 12.620 \]
Looking at the options provided:
- 12.618
- 12.619
- 0.699
- -11.221
The closest rounding is 12.619.
Thus, the answer is 12.619.
3 answers