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Finding the Fourth Proportional to 96.78, 133.52 and 80.40

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Solution

The fourth proportional to 96.78, 133.52 and 80.40 is: 110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 133.52 = 80.40 : x
  2. Step 2: Convert to fraction form
    96.78/133.52 = 80.40/x
  3. Step 3: Cross multiply
    96.78x = 133.52 × 80.40
  4. Step 4: Simplify right side
    96.78x = 10,735.01
  5. Step 5: Solve for x
    x = 10,735.01/96.78
  6. Step 6: Final answer
    x = 110.92

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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.