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Finding the Fourth Proportional to 54.29, 81.45 and 53.91

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Solution

The fourth proportional to 54.29, 81.45 and 53.91 is: 80.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.29 : 81.45 = 53.91 : x
  2. Step 2: Convert to fraction form
    54.29/81.45 = 53.91/x
  3. Step 3: Cross multiply
    54.29x = 81.45 × 53.91
  4. Step 4: Simplify right side
    54.29x = 4,390.97
  5. Step 5: Solve for x
    x = 4,390.97/54.29
  6. Step 6: Final answer
    x = 80.88

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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.