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Finding the Fourth Proportional to 126.54, 190.22 and 106.29

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Solution

The fourth proportional to 126.54, 190.22 and 106.29 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 190.22 = 106.29 : x
  2. Step 2: Convert to fraction form
    126.54/190.22 = 106.29/x
  3. Step 3: Cross multiply
    126.54x = 190.22 × 106.29
  4. Step 4: Simplify right side
    126.54x = 20,217.95
  5. Step 5: Solve for x
    x = 20,217.95/126.54
  6. Step 6: Final answer
    x = 159.78

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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.