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Finding the Fourth Proportional to 61.86, 85.47 and 42.54

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Solution

The fourth proportional to 61.86, 85.47 and 42.54 is: 58.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.86 : 85.47 = 42.54 : x
  2. Step 2: Convert to fraction form
    61.86/85.47 = 42.54/x
  3. Step 3: Cross multiply
    61.86x = 85.47 × 42.54
  4. Step 4: Simplify right side
    61.86x = 3,635.89
  5. Step 5: Solve for x
    x = 3,635.89/61.86
  6. Step 6: Final answer
    x = 58.78

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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.