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Finding the Fourth Proportional to 126.29, 190.49 and 111.26

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Solution

The fourth proportional to 126.29, 190.49 and 111.26 is: 167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.29 : 190.49 = 111.26 : x
  2. Step 2: Convert to fraction form
    126.29/190.49 = 111.26/x
  3. Step 3: Cross multiply
    126.29x = 190.49 × 111.26
  4. Step 4: Simplify right side
    126.29x = 21,193.64
  5. Step 5: Solve for x
    x = 21,193.64/126.29
  6. Step 6: Final answer
    x = 167.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.