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Finding the Fourth Proportional to 67.57, 101.25 and 54.82

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Solution

The fourth proportional to 67.57, 101.25 and 54.82 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.57 : 101.25 = 54.82 : x
  2. Step 2: Convert to fraction form
    67.57/101.25 = 54.82/x
  3. Step 3: Cross multiply
    67.57x = 101.25 × 54.82
  4. Step 4: Simplify right side
    67.57x = 5,550.53
  5. Step 5: Solve for x
    x = 5,550.53/67.57
  6. Step 6: Final answer
    x = 82.14

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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.