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Finding the Fourth Proportional to 136.91, 205.12 and 82.70

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Solution

The fourth proportional to 136.91, 205.12 and 82.70 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.91 : 205.12 = 82.70 : x
  2. Step 2: Convert to fraction form
    136.91/205.12 = 82.70/x
  3. Step 3: Cross multiply
    136.91x = 205.12 × 82.70
  4. Step 4: Simplify right side
    136.91x = 16,963.42
  5. Step 5: Solve for x
    x = 16,963.42/136.91
  6. Step 6: Final answer
    x = 123.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.