Finding the Fourth Proportional to 81.97, 122.87 and 30.59
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Solution
The fourth proportional to 81.97, 122.87 and 30.59 is: 45.85
Step by Step Solution
- Step 1: Write the proportion equation
81.97 : 122.87 = 30.59 : x - Step 2: Convert to fraction form
81.97/122.87 = 30.59/x - Step 3: Cross multiply
81.97x = 122.87 × 30.59 - Step 4: Simplify right side
81.97x = 3,758.13 - Step 5: Solve for x
x = 3,758.13/81.97 - Step 6: Final answer
x = 45.85
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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.