Finding the Fourth Proportional to 106.17, 158.42 and 101.31
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Solution
The fourth proportional to 106.17, 158.42 and 101.31 is: 151.16
Step by Step Solution
- Step 1: Write the proportion equation
106.17 : 158.42 = 101.31 : x - Step 2: Convert to fraction form
106.17/158.42 = 101.31/x - Step 3: Cross multiply
106.17x = 158.42 × 101.31 - Step 4: Simplify right side
106.17x = 16,049.02 - Step 5: Solve for x
x = 16,049.02/106.17 - Step 6: Final answer
x = 151.16
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.