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Finding the Fourth Proportional to 67.61, 101.42 and 57.43

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Solution

The fourth proportional to 67.61, 101.42 and 57.43 is: 86.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.61 : 101.42 = 57.43 : x
  2. Step 2: Convert to fraction form
    67.61/101.42 = 57.43/x
  3. Step 3: Cross multiply
    67.61x = 101.42 × 57.43
  4. Step 4: Simplify right side
    67.61x = 5,824.55
  5. Step 5: Solve for x
    x = 5,824.55/67.61
  6. Step 6: Final answer
    x = 86.15

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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.