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Finding the Fourth Proportional to 87.84, 131.84 and 53.80

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Solution

The fourth proportional to 87.84, 131.84 and 53.80 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 131.84 = 53.80 : x
  2. Step 2: Convert to fraction form
    87.84/131.84 = 53.80/x
  3. Step 3: Cross multiply
    87.84x = 131.84 × 53.80
  4. Step 4: Simplify right side
    87.84x = 7,092.99
  5. Step 5: Solve for x
    x = 7,092.99/87.84
  6. Step 6: Final answer
    x = 80.75

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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.