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Finding the Fourth Proportional to 126.26, 189.38 and 106.82

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Solution

The fourth proportional to 126.26, 189.38 and 106.82 is: 160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.26 : 189.38 = 106.82 : x
  2. Step 2: Convert to fraction form
    126.26/189.38 = 106.82/x
  3. Step 3: Cross multiply
    126.26x = 189.38 × 106.82
  4. Step 4: Simplify right side
    126.26x = 20,228.62
  5. Step 5: Solve for x
    x = 20,228.62/126.26
  6. Step 6: Final answer
    x = 160.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.