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Finding the Fourth Proportional to 136.29, 204.03 and 82.02

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Solution

The fourth proportional to 136.29, 204.03 and 82.02 is: 122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.29 : 204.03 = 82.02 : x
  2. Step 2: Convert to fraction form
    136.29/204.03 = 82.02/x
  3. Step 3: Cross multiply
    136.29x = 204.03 × 82.02
  4. Step 4: Simplify right side
    136.29x = 16,734.54
  5. Step 5: Solve for x
    x = 16,734.54/136.29
  6. Step 6: Final answer
    x = 122.79

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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.