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Finding the Fourth Proportional to 83.16, 124.17 and 74.04

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Solution

The fourth proportional to 83.16, 124.17 and 74.04 is: 110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 124.17 = 74.04 : x
  2. Step 2: Convert to fraction form
    83.16/124.17 = 74.04/x
  3. Step 3: Cross multiply
    83.16x = 124.17 × 74.04
  4. Step 4: Simplify right side
    83.16x = 9,193.55
  5. Step 5: Solve for x
    x = 9,193.55/83.16
  6. Step 6: Final answer
    x = 110.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.