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Finding the Fourth Proportional to 126.80, 190.24 and 40.13

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Solution

The fourth proportional to 126.80, 190.24 and 40.13 is: 60.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.80 : 190.24 = 40.13 : x
  2. Step 2: Convert to fraction form
    126.80/190.24 = 40.13/x
  3. Step 3: Cross multiply
    126.80x = 190.24 × 40.13
  4. Step 4: Simplify right side
    126.80x = 7,634.33
  5. Step 5: Solve for x
    x = 7,634.33/126.80
  6. Step 6: Final answer
    x = 60.21

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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.