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Finding the Fourth Proportional to 159.97, 220.67 and 97.78

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Solution

The fourth proportional to 159.97, 220.67 and 97.78 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.97 : 220.67 = 97.78 : x
  2. Step 2: Convert to fraction form
    159.97/220.67 = 97.78/x
  3. Step 3: Cross multiply
    159.97x = 220.67 × 97.78
  4. Step 4: Simplify right side
    159.97x = 21,577.11
  5. Step 5: Solve for x
    x = 21,577.11/159.97
  6. Step 6: Final answer
    x = 134.88

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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.