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Finding the Fourth Proportional to 126.92, 175.10 and 107.22

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Solution

The fourth proportional to 126.92, 175.10 and 107.22 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.92 : 175.10 = 107.22 : x
  2. Step 2: Convert to fraction form
    126.92/175.10 = 107.22/x
  3. Step 3: Cross multiply
    126.92x = 175.10 × 107.22
  4. Step 4: Simplify right side
    126.92x = 18,774.22
  5. Step 5: Solve for x
    x = 18,774.22/126.92
  6. Step 6: Final answer
    x = 147.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.