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Finding the Fourth Proportional to 99.11, 136.16 and 80.64

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Solution

The fourth proportional to 99.11, 136.16 and 80.64 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.11 : 136.16 = 80.64 : x
  2. Step 2: Convert to fraction form
    99.11/136.16 = 80.64/x
  3. Step 3: Cross multiply
    99.11x = 136.16 × 80.64
  4. Step 4: Simplify right side
    99.11x = 10,979.84
  5. Step 5: Solve for x
    x = 10,979.84/99.11
  6. Step 6: Final answer
    x = 110.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.