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Finding the Fourth Proportional to 136.05, 204.01 and 75.10

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Solution

The fourth proportional to 136.05, 204.01 and 75.10 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.05 : 204.01 = 75.10 : x
  2. Step 2: Convert to fraction form
    136.05/204.01 = 75.10/x
  3. Step 3: Cross multiply
    136.05x = 204.01 × 75.10
  4. Step 4: Simplify right side
    136.05x = 15,321.15
  5. Step 5: Solve for x
    x = 15,321.15/136.05
  6. Step 6: Final answer
    x = 112.61

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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.