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Finding the Fourth Proportional to 126.18, 173.95 and 106.61

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Solution

The fourth proportional to 126.18, 173.95 and 106.61 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.18 : 173.95 = 106.61 : x
  2. Step 2: Convert to fraction form
    126.18/173.95 = 106.61/x
  3. Step 3: Cross multiply
    126.18x = 173.95 × 106.61
  4. Step 4: Simplify right side
    126.18x = 18,543.67
  5. Step 5: Solve for x
    x = 18,543.67/126.18
  6. Step 6: Final answer
    x = 146.96

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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.