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Finding the Fourth Proportional to 136.29, 187.89 and 106.71

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Solution

The fourth proportional to 136.29, 187.89 and 106.71 is: 147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.29 : 187.89 = 106.71 : x
  2. Step 2: Convert to fraction form
    136.29/187.89 = 106.71/x
  3. Step 3: Cross multiply
    136.29x = 187.89 × 106.71
  4. Step 4: Simplify right side
    136.29x = 20,049.74
  5. Step 5: Solve for x
    x = 20,049.74/136.29
  6. Step 6: Final answer
    x = 147.11

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Why These Related Problems?

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