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Finding the Fourth Proportional to 136.26, 204.17 and 75.42

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Solution

The fourth proportional to 136.26, 204.17 and 75.42 is: 113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.26 : 204.17 = 75.42 : x
  2. Step 2: Convert to fraction form
    136.26/204.17 = 75.42/x
  3. Step 3: Cross multiply
    136.26x = 204.17 × 75.42
  4. Step 4: Simplify right side
    136.26x = 15,398.12
  5. Step 5: Solve for x
    x = 15,398.12/136.26
  6. Step 6: Final answer
    x = 113.01

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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.