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Finding the Fourth Proportional to 54.24, 81.29 and 40.74

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Solution

The fourth proportional to 54.24, 81.29 and 40.74 is: 61.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.24 : 81.29 = 40.74 : x
  2. Step 2: Convert to fraction form
    54.24/81.29 = 40.74/x
  3. Step 3: Cross multiply
    54.24x = 81.29 × 40.74
  4. Step 4: Simplify right side
    54.24x = 3,311.75
  5. Step 5: Solve for x
    x = 3,311.75/54.24
  6. Step 6: Final answer
    x = 61.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.