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Finding the Fourth Proportional to 126.90, 190.35 and 107.78

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Solution

The fourth proportional to 126.90, 190.35 and 107.78 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.90 : 190.35 = 107.78 : x
  2. Step 2: Convert to fraction form
    126.90/190.35 = 107.78/x
  3. Step 3: Cross multiply
    126.90x = 190.35 × 107.78
  4. Step 4: Simplify right side
    126.90x = 20,514.97
  5. Step 5: Solve for x
    x = 20,514.97/126.90
  6. Step 6: Final answer
    x = 161.66

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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.