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Finding the Fourth Proportional to 87.88, 131.17 and 82.20

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Solution

The fourth proportional to 87.88, 131.17 and 82.20 is: 122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.88 : 131.17 = 82.20 : x
  2. Step 2: Convert to fraction form
    87.88/131.17 = 82.20/x
  3. Step 3: Cross multiply
    87.88x = 131.17 × 82.20
  4. Step 4: Simplify right side
    87.88x = 10,782.17
  5. Step 5: Solve for x
    x = 10,782.17/87.88
  6. Step 6: Final answer
    x = 122.69

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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.