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Finding the Fourth Proportional to 73.97, 102.08 and 41.22

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Solution

The fourth proportional to 73.97, 102.08 and 41.22 is: 56.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 102.08 = 41.22 : x
  2. Step 2: Convert to fraction form
    73.97/102.08 = 41.22/x
  3. Step 3: Cross multiply
    73.97x = 102.08 × 41.22
  4. Step 4: Simplify right side
    73.97x = 4,207.61
  5. Step 5: Solve for x
    x = 4,207.61/73.97
  6. Step 6: Final answer
    x = 56.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.