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Finding the Fourth Proportional to 54.97, 82.49 and 41.29

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Solution

The fourth proportional to 54.97, 82.49 and 41.29 is: 61.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.97 : 82.49 = 41.29 : x
  2. Step 2: Convert to fraction form
    54.97/82.49 = 41.29/x
  3. Step 3: Cross multiply
    54.97x = 82.49 × 41.29
  4. Step 4: Simplify right side
    54.97x = 3,405.60
  5. Step 5: Solve for x
    x = 3,405.60/54.97
  6. Step 6: Final answer
    x = 61.96

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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.