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Finding the Fourth Proportional to 136.38, 187.69 and 120.78

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Solution

The fourth proportional to 136.38, 187.69 and 120.78 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.38 : 187.69 = 120.78 : x
  2. Step 2: Convert to fraction form
    136.38/187.69 = 120.78/x
  3. Step 3: Cross multiply
    136.38x = 187.69 × 120.78
  4. Step 4: Simplify right side
    136.38x = 22,668.90
  5. Step 5: Solve for x
    x = 22,668.90/136.38
  6. Step 6: Final answer
    x = 166.22

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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.