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Finding the Fourth Proportional to 63.66, 87.84 and 37.78

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Solution

The fourth proportional to 63.66, 87.84 and 37.78 is: 52.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.66 : 87.84 = 37.78 : x
  2. Step 2: Convert to fraction form
    63.66/87.84 = 37.78/x
  3. Step 3: Cross multiply
    63.66x = 87.84 × 37.78
  4. Step 4: Simplify right side
    63.66x = 3,318.60
  5. Step 5: Solve for x
    x = 3,318.60/63.66
  6. Step 6: Final answer
    x = 52.13

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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.