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Finding the Fourth Proportional to 63.78, 88.02 and 37.57

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Solution

The fourth proportional to 63.78, 88.02 and 37.57 is: 51.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.78 : 88.02 = 37.57 : x
  2. Step 2: Convert to fraction form
    63.78/88.02 = 37.57/x
  3. Step 3: Cross multiply
    63.78x = 88.02 × 37.57
  4. Step 4: Simplify right side
    63.78x = 3,306.72
  5. Step 5: Solve for x
    x = 3,306.72/63.78
  6. Step 6: Final answer
    x = 51.85

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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.