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Finding the Fourth Proportional to 61.59, 84.96 and 39.75

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Solution

The fourth proportional to 61.59, 84.96 and 39.75 is: 54.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.59 : 84.96 = 39.75 : x
  2. Step 2: Convert to fraction form
    61.59/84.96 = 39.75/x
  3. Step 3: Cross multiply
    61.59x = 84.96 × 39.75
  4. Step 4: Simplify right side
    61.59x = 3,377.16
  5. Step 5: Solve for x
    x = 3,377.16/61.59
  6. Step 6: Final answer
    x = 54.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.