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Finding the Fourth Proportional to 126.86, 175.01 and 80.21

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Solution

The fourth proportional to 126.86, 175.01 and 80.21 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 175.01 = 80.21 : x
  2. Step 2: Convert to fraction form
    126.86/175.01 = 80.21/x
  3. Step 3: Cross multiply
    126.86x = 175.01 × 80.21
  4. Step 4: Simplify right side
    126.86x = 14,037.59
  5. Step 5: Solve for x
    x = 14,037.59/126.86
  6. Step 6: Final answer
    x = 110.66

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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.