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Finding the Fourth Proportional to 87.85, 131.62 and 53.53

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Solution

The fourth proportional to 87.85, 131.62 and 53.53 is: 80.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.85 : 131.62 = 53.53 : x
  2. Step 2: Convert to fraction form
    87.85/131.62 = 53.53/x
  3. Step 3: Cross multiply
    87.85x = 131.62 × 53.53
  4. Step 4: Simplify right side
    87.85x = 7,045.62
  5. Step 5: Solve for x
    x = 7,045.62/87.85
  6. Step 6: Final answer
    x = 80.20

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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.