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Finding the Fourth Proportional to 99.25, 137.02 and 75.89

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Solution

The fourth proportional to 99.25, 137.02 and 75.89 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.25 : 137.02 = 75.89 : x
  2. Step 2: Convert to fraction form
    99.25/137.02 = 75.89/x
  3. Step 3: Cross multiply
    99.25x = 137.02 × 75.89
  4. Step 4: Simplify right side
    99.25x = 10,398.45
  5. Step 5: Solve for x
    x = 10,398.45/99.25
  6. Step 6: Final answer
    x = 104.78

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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.