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Finding the Fourth Proportional to 136.45, 203.33 and 132.09

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Solution

The fourth proportional to 136.45, 203.33 and 132.09 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.45 : 203.33 = 132.09 : x
  2. Step 2: Convert to fraction form
    136.45/203.33 = 132.09/x
  3. Step 3: Cross multiply
    136.45x = 203.33 × 132.09
  4. Step 4: Simplify right side
    136.45x = 26,857.86
  5. Step 5: Solve for x
    x = 26,857.86/136.45
  6. Step 6: Final answer
    x = 196.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.