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Finding the Fourth Proportional to 99.20, 137.03 and 77.65

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Solution

The fourth proportional to 99.20, 137.03 and 77.65 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 137.03 = 77.65 : x
  2. Step 2: Convert to fraction form
    99.20/137.03 = 77.65/x
  3. Step 3: Cross multiply
    99.20x = 137.03 × 77.65
  4. Step 4: Simplify right side
    99.20x = 10,640.38
  5. Step 5: Solve for x
    x = 10,640.38/99.20
  6. Step 6: Final answer
    x = 107.26

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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.