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Finding the Fourth Proportional to 96.78, 133.43 and 81.21

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Solution

The fourth proportional to 96.78, 133.43 and 81.21 is: 111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 133.43 = 81.21 : x
  2. Step 2: Convert to fraction form
    96.78/133.43 = 81.21/x
  3. Step 3: Cross multiply
    96.78x = 133.43 × 81.21
  4. Step 4: Simplify right side
    96.78x = 10,835.44
  5. Step 5: Solve for x
    x = 10,835.44/96.78
  6. Step 6: Final answer
    x = 111.96

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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.