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Finding the Fourth Proportional to 136.31, 188.11 and 81.05

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Solution

The fourth proportional to 136.31, 188.11 and 81.05 is: 111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 188.11 = 81.05 : x
  2. Step 2: Convert to fraction form
    136.31/188.11 = 81.05/x
  3. Step 3: Cross multiply
    136.31x = 188.11 × 81.05
  4. Step 4: Simplify right side
    136.31x = 15,246.12
  5. Step 5: Solve for x
    x = 15,246.12/136.31
  6. Step 6: Final answer
    x = 111.85

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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.