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Finding the Fourth Proportional to 67.59, 100.96 and 57.87

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Solution

The fourth proportional to 67.59, 100.96 and 57.87 is: 86.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.59 : 100.96 = 57.87 : x
  2. Step 2: Convert to fraction form
    67.59/100.96 = 57.87/x
  3. Step 3: Cross multiply
    67.59x = 100.96 × 57.87
  4. Step 4: Simplify right side
    67.59x = 5,842.41
  5. Step 5: Solve for x
    x = 5,842.41/67.59
  6. Step 6: Final answer
    x = 86.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.