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Finding the Fourth Proportional to 96.78, 133.60 and 67.82

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Solution

The fourth proportional to 96.78, 133.60 and 67.82 is: 93.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 133.60 = 67.82 : x
  2. Step 2: Convert to fraction form
    96.78/133.60 = 67.82/x
  3. Step 3: Cross multiply
    96.78x = 133.60 × 67.82
  4. Step 4: Simplify right side
    96.78x = 9,060.75
  5. Step 5: Solve for x
    x = 9,060.75/96.78
  6. Step 6: Final answer
    x = 93.62

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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.