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Finding the Fourth Proportional to 136.24, 204.05 and 75.20

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Solution

The fourth proportional to 136.24, 204.05 and 75.20 is: 112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 204.05 = 75.20 : x
  2. Step 2: Convert to fraction form
    136.24/204.05 = 75.20/x
  3. Step 3: Cross multiply
    136.24x = 204.05 × 75.20
  4. Step 4: Simplify right side
    136.24x = 15,343.73
  5. Step 5: Solve for x
    x = 15,343.73/136.24
  6. Step 6: Final answer
    x = 112.62

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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.