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Finding the Fourth Proportional to 61.66, 85.10 and 38.37

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Solution

The fourth proportional to 61.66, 85.10 and 38.37 is: 52.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.66 : 85.10 = 38.37 : x
  2. Step 2: Convert to fraction form
    61.66/85.10 = 38.37/x
  3. Step 3: Cross multiply
    61.66x = 85.10 × 38.37
  4. Step 4: Simplify right side
    61.66x = 3,265.04
  5. Step 5: Solve for x
    x = 3,265.04/61.66
  6. Step 6: Final answer
    x = 52.95

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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.