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Finding the Fourth Proportional to 126.16, 188.97 and 80.53

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Solution

The fourth proportional to 126.16, 188.97 and 80.53 is: 120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.16 : 188.97 = 80.53 : x
  2. Step 2: Convert to fraction form
    126.16/188.97 = 80.53/x
  3. Step 3: Cross multiply
    126.16x = 188.97 × 80.53
  4. Step 4: Simplify right side
    126.16x = 15,217.75
  5. Step 5: Solve for x
    x = 15,217.75/126.16
  6. Step 6: Final answer
    x = 120.62

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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.