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Finding the Fourth Proportional to 159.92, 220.82 and 97.78

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Solution

The fourth proportional to 159.92, 220.82 and 97.78 is: 135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 220.82 = 97.78 : x
  2. Step 2: Convert to fraction form
    159.92/220.82 = 97.78/x
  3. Step 3: Cross multiply
    159.92x = 220.82 × 97.78
  4. Step 4: Simplify right side
    159.92x = 21,591.15
  5. Step 5: Solve for x
    x = 21,591.15/159.92
  6. Step 6: Final answer
    x = 135.01

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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.