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Finding the Fourth Proportional to 91.31, 125.24 and 80.38

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Solution

The fourth proportional to 91.31, 125.24 and 80.38 is: 110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.31 : 125.24 = 80.38 : x
  2. Step 2: Convert to fraction form
    91.31/125.24 = 80.38/x
  3. Step 3: Cross multiply
    91.31x = 125.24 × 80.38
  4. Step 4: Simplify right side
    91.31x = 10,066.68
  5. Step 5: Solve for x
    x = 10,066.68/91.31
  6. Step 6: Final answer
    x = 110.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.