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Finding the Fourth Proportional to 96.57, 133.38 and 80.19

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Solution

The fourth proportional to 96.57, 133.38 and 80.19 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 133.38 = 80.19 : x
  2. Step 2: Convert to fraction form
    96.57/133.38 = 80.19/x
  3. Step 3: Cross multiply
    96.57x = 133.38 × 80.19
  4. Step 4: Simplify right side
    96.57x = 10,695.74
  5. Step 5: Solve for x
    x = 10,695.74/96.57
  6. Step 6: Final answer
    x = 110.76

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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.