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Finding the Fourth Proportional to 136.77, 205.13 and 82.53

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Solution

The fourth proportional to 136.77, 205.13 and 82.53 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.77 : 205.13 = 82.53 : x
  2. Step 2: Convert to fraction form
    136.77/205.13 = 82.53/x
  3. Step 3: Cross multiply
    136.77x = 205.13 × 82.53
  4. Step 4: Simplify right side
    136.77x = 16,929.38
  5. Step 5: Solve for x
    x = 16,929.38/136.77
  6. Step 6: Final answer
    x = 123.78

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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.