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Finding the Fourth Proportional to 67.56, 101.41 and 54.05

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Solution

The fourth proportional to 67.56, 101.41 and 54.05 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.56 : 101.41 = 54.05 : x
  2. Step 2: Convert to fraction form
    67.56/101.41 = 54.05/x
  3. Step 3: Cross multiply
    67.56x = 101.41 × 54.05
  4. Step 4: Simplify right side
    67.56x = 5,480.57
  5. Step 5: Solve for x
    x = 5,480.57/67.56
  6. Step 6: Final answer
    x = 81.13

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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.