Finding the Fourth Proportional to 106.97, 147.62 and 57.85
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Solution
The fourth proportional to 106.97, 147.62 and 57.85 is: 79.84
Step by Step Solution
- Step 1: Write the proportion equation
106.97 : 147.62 = 57.85 : x - Step 2: Convert to fraction form
106.97/147.62 = 57.85/x - Step 3: Cross multiply
106.97x = 147.62 × 57.85 - Step 4: Simplify right side
106.97x = 8,540.53 - Step 5: Solve for x
x = 8,540.53/106.97 - Step 6: Final answer
x = 79.84
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.