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Finding the Fourth Proportional to 91.44, 126.14 and 80.46

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Solution

The fourth proportional to 91.44, 126.14 and 80.46 is: 110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.44 : 126.14 = 80.46 : x
  2. Step 2: Convert to fraction form
    91.44/126.14 = 80.46/x
  3. Step 3: Cross multiply
    91.44x = 126.14 × 80.46
  4. Step 4: Simplify right side
    91.44x = 10,148.82
  5. Step 5: Solve for x
    x = 10,148.82/91.44
  6. Step 6: Final answer
    x = 110.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.