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Finding the Fourth Proportional to 136.43, 204.68 and 82.27

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Solution

The fourth proportional to 136.43, 204.68 and 82.27 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.43 : 204.68 = 82.27 : x
  2. Step 2: Convert to fraction form
    136.43/204.68 = 82.27/x
  3. Step 3: Cross multiply
    136.43x = 204.68 × 82.27
  4. Step 4: Simplify right side
    136.43x = 16,837.87
  5. Step 5: Solve for x
    x = 16,837.87/136.43
  6. Step 6: Final answer
    x = 123.41

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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.