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Finding the Fourth Proportional to 54.18, 81.47 and 49.96

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Solution

The fourth proportional to 54.18, 81.47 and 49.96 is: 75.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.18 : 81.47 = 49.96 : x
  2. Step 2: Convert to fraction form
    54.18/81.47 = 49.96/x
  3. Step 3: Cross multiply
    54.18x = 81.47 × 49.96
  4. Step 4: Simplify right side
    54.18x = 4,070.03
  5. Step 5: Solve for x
    x = 4,070.03/54.18
  6. Step 6: Final answer
    x = 75.11

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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.