Finding the Fourth Proportional to 71.24, 106.76 and 32.70
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Solution
The fourth proportional to 71.24, 106.76 and 32.70 is: 49.00
Step by Step Solution
- Step 1: Write the proportion equation
71.24 : 106.76 = 32.70 : x - Step 2: Convert to fraction form
71.24/106.76 = 32.70/x - Step 3: Cross multiply
71.24x = 106.76 × 32.70 - Step 4: Simplify right side
71.24x = 3,491.05 - Step 5: Solve for x
x = 3,491.05/71.24 - Step 6: Final answer
x = 49.00
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.