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Finding the Fourth Proportional to 54.38, 81.57 and 20.12

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Solution

The fourth proportional to 54.38, 81.57 and 20.12 is: 30.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.38 : 81.57 = 20.12 : x
  2. Step 2: Convert to fraction form
    54.38/81.57 = 20.12/x
  3. Step 3: Cross multiply
    54.38x = 81.57 × 20.12
  4. Step 4: Simplify right side
    54.38x = 1,641.01
  5. Step 5: Solve for x
    x = 1,641.01/54.38
  6. Step 6: Final answer
    x = 30.18

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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.