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Finding the Fourth Proportional to 61.86, 85.37 and 39.73

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Solution

The fourth proportional to 61.86, 85.37 and 39.73 is: 54.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.86 : 85.37 = 39.73 : x
  2. Step 2: Convert to fraction form
    61.86/85.37 = 39.73/x
  3. Step 3: Cross multiply
    61.86x = 85.37 × 39.73
  4. Step 4: Simplify right side
    61.86x = 3,391.75
  5. Step 5: Solve for x
    x = 3,391.75/61.86
  6. Step 6: Final answer
    x = 54.83

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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.