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Finding the Fourth Proportional to 85.26, 127.10 and 80.66

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Solution

The fourth proportional to 85.26, 127.10 and 80.66 is: 120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.26 : 127.10 = 80.66 : x
  2. Step 2: Convert to fraction form
    85.26/127.10 = 80.66/x
  3. Step 3: Cross multiply
    85.26x = 127.10 × 80.66
  4. Step 4: Simplify right side
    85.26x = 10,251.89
  5. Step 5: Solve for x
    x = 10,251.89/85.26
  6. Step 6: Final answer
    x = 120.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.