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Finding the Fourth Proportional to 54.04, 81.02 and 47.24

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Solution

The fourth proportional to 54.04, 81.02 and 47.24 is: 70.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.04 : 81.02 = 47.24 : x
  2. Step 2: Convert to fraction form
    54.04/81.02 = 47.24/x
  3. Step 3: Cross multiply
    54.04x = 81.02 × 47.24
  4. Step 4: Simplify right side
    54.04x = 3,827.38
  5. Step 5: Solve for x
    x = 3,827.38/54.04
  6. Step 6: Final answer
    x = 70.83

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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.