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Finding the Fourth Proportional to 54.57, 82.19 and 41.14

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Solution

The fourth proportional to 54.57, 82.19 and 41.14 is: 61.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 82.19 = 41.14 : x
  2. Step 2: Convert to fraction form
    54.57/82.19 = 41.14/x
  3. Step 3: Cross multiply
    54.57x = 82.19 × 41.14
  4. Step 4: Simplify right side
    54.57x = 3,381.39
  5. Step 5: Solve for x
    x = 3,381.39/54.57
  6. Step 6: Final answer
    x = 61.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.