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Finding the Fourth Proportional to 61.96, 93.14 and 37.96

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Solution

The fourth proportional to 61.96, 93.14 and 37.96 is: 57.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.96 : 93.14 = 37.96 : x
  2. Step 2: Convert to fraction form
    61.96/93.14 = 37.96/x
  3. Step 3: Cross multiply
    61.96x = 93.14 × 37.96
  4. Step 4: Simplify right side
    61.96x = 3,535.59
  5. Step 5: Solve for x
    x = 3,535.59/61.96
  6. Step 6: Final answer
    x = 57.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.