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Finding the Fourth Proportional to 54.20, 81.28 and 19.97

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Solution

The fourth proportional to 54.20, 81.28 and 19.97 is: 29.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.20 : 81.28 = 19.97 : x
  2. Step 2: Convert to fraction form
    54.20/81.28 = 19.97/x
  3. Step 3: Cross multiply
    54.20x = 81.28 × 19.97
  4. Step 4: Simplify right side
    54.20x = 1,622.66
  5. Step 5: Solve for x
    x = 1,622.66/54.20
  6. Step 6: Final answer
    x = 29.94

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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.