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Finding the Fourth Proportional to 126.75, 190.17 and 75.42

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Solution

The fourth proportional to 126.75, 190.17 and 75.42 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 190.17 = 75.42 : x
  2. Step 2: Convert to fraction form
    126.75/190.17 = 75.42/x
  3. Step 3: Cross multiply
    126.75x = 190.17 × 75.42
  4. Step 4: Simplify right side
    126.75x = 14,342.62
  5. Step 5: Solve for x
    x = 14,342.62/126.75
  6. Step 6: Final answer
    x = 113.15

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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.