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Finding the Fourth Proportional to 136.20, 203.91 and 75.11

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Solution

The fourth proportional to 136.20, 203.91 and 75.11 is: 112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.20 : 203.91 = 75.11 : x
  2. Step 2: Convert to fraction form
    136.20/203.91 = 75.11/x
  3. Step 3: Cross multiply
    136.20x = 203.91 × 75.11
  4. Step 4: Simplify right side
    136.20x = 15,314.66
  5. Step 5: Solve for x
    x = 15,314.66/136.20
  6. Step 6: Final answer
    x = 112.44

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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.