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Finding the Fourth Proportional to 67.12, 100.22 and 56.97

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Solution

The fourth proportional to 67.12, 100.22 and 56.97 is: 85.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.12 : 100.22 = 56.97 : x
  2. Step 2: Convert to fraction form
    67.12/100.22 = 56.97/x
  3. Step 3: Cross multiply
    67.12x = 100.22 × 56.97
  4. Step 4: Simplify right side
    67.12x = 5,709.53
  5. Step 5: Solve for x
    x = 5,709.53/67.12
  6. Step 6: Final answer
    x = 85.06

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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.