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Finding the Fourth Proportional to 99.14, 136.67 and 74.57

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Solution

The fourth proportional to 99.14, 136.67 and 74.57 is: 102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.14 : 136.67 = 74.57 : x
  2. Step 2: Convert to fraction form
    99.14/136.67 = 74.57/x
  3. Step 3: Cross multiply
    99.14x = 136.67 × 74.57
  4. Step 4: Simplify right side
    99.14x = 10,190.43
  5. Step 5: Solve for x
    x = 10,190.43/99.14
  6. Step 6: Final answer
    x = 102.79

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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.