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Finding the Fourth Proportional to 99.02, 136.69 and 77.15

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Solution

The fourth proportional to 99.02, 136.69 and 77.15 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.02 : 136.69 = 77.15 : x
  2. Step 2: Convert to fraction form
    99.02/136.69 = 77.15/x
  3. Step 3: Cross multiply
    99.02x = 136.69 × 77.15
  4. Step 4: Simplify right side
    99.02x = 10,545.78
  5. Step 5: Solve for x
    x = 10,545.78/99.02
  6. Step 6: Final answer
    x = 106.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.