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Finding the Fourth Proportional to 99.75, 137.70 and 73.92

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Solution

The fourth proportional to 99.75, 137.70 and 73.92 is: 102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 137.70 = 73.92 : x
  2. Step 2: Convert to fraction form
    99.75/137.70 = 73.92/x
  3. Step 3: Cross multiply
    99.75x = 137.70 × 73.92
  4. Step 4: Simplify right side
    99.75x = 10,178.78
  5. Step 5: Solve for x
    x = 10,178.78/99.75
  6. Step 6: Final answer
    x = 102.04

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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.