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Finding the Fourth Proportional to 57.13, 85.61 and 49.88

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Solution

The fourth proportional to 57.13, 85.61 and 49.88 is: 74.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.13 : 85.61 = 49.88 : x
  2. Step 2: Convert to fraction form
    57.13/85.61 = 49.88/x
  3. Step 3: Cross multiply
    57.13x = 85.61 × 49.88
  4. Step 4: Simplify right side
    57.13x = 4,270.57
  5. Step 5: Solve for x
    x = 4,270.57/57.13
  6. Step 6: Final answer
    x = 74.75

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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.