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Finding the Fourth Proportional to 63.77, 87.77 and 52.88

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Solution

The fourth proportional to 63.77, 87.77 and 52.88 is: 72.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.77 : 87.77 = 52.88 : x
  2. Step 2: Convert to fraction form
    63.77/87.77 = 52.88/x
  3. Step 3: Cross multiply
    63.77x = 87.77 × 52.88
  4. Step 4: Simplify right side
    63.77x = 4,640.97
  5. Step 5: Solve for x
    x = 4,640.97/63.77
  6. Step 6: Final answer
    x = 72.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.