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Finding the Fourth Proportional to 99.27, 136.83 and 85.40

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Solution

The fourth proportional to 99.27, 136.83 and 85.40 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.27 : 136.83 = 85.40 : x
  2. Step 2: Convert to fraction form
    99.27/136.83 = 85.40/x
  3. Step 3: Cross multiply
    99.27x = 136.83 × 85.40
  4. Step 4: Simplify right side
    99.27x = 11,684.86
  5. Step 5: Solve for x
    x = 11,684.86/99.27
  6. Step 6: Final answer
    x = 117.71

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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.