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Finding the Fourth Proportional to 136.26, 186.81 and 129.88

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Solution

The fourth proportional to 136.26, 186.81 and 129.88 is: 178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.26 : 186.81 = 129.88 : x
  2. Step 2: Convert to fraction form
    136.26/186.81 = 129.88/x
  3. Step 3: Cross multiply
    136.26x = 186.81 × 129.88
  4. Step 4: Simplify right side
    136.26x = 24,262.88
  5. Step 5: Solve for x
    x = 24,262.88/136.26
  6. Step 6: Final answer
    x = 178.06

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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.