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Finding the Fourth Proportional to 83.74, 124.94 and 75.04

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Solution

The fourth proportional to 83.74, 124.94 and 75.04 is: 111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.74 : 124.94 = 75.04 : x
  2. Step 2: Convert to fraction form
    83.74/124.94 = 75.04/x
  3. Step 3: Cross multiply
    83.74x = 124.94 × 75.04
  4. Step 4: Simplify right side
    83.74x = 9,375.50
  5. Step 5: Solve for x
    x = 9,375.50/83.74
  6. Step 6: Final answer
    x = 111.96

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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.