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Finding the Fourth Proportional to 126.97, 190.41 and 75.63

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Solution

The fourth proportional to 126.97, 190.41 and 75.63 is: 113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.97 : 190.41 = 75.63 : x
  2. Step 2: Convert to fraction form
    126.97/190.41 = 75.63/x
  3. Step 3: Cross multiply
    126.97x = 190.41 × 75.63
  4. Step 4: Simplify right side
    126.97x = 14,400.71
  5. Step 5: Solve for x
    x = 14,400.71/126.97
  6. Step 6: Final answer
    x = 113.42

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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.