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Finding the Fourth Proportional to 159.73, 220.39 and 97.58

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Solution

The fourth proportional to 159.73, 220.39 and 97.58 is: 134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.73 : 220.39 = 97.58 : x
  2. Step 2: Convert to fraction form
    159.73/220.39 = 97.58/x
  3. Step 3: Cross multiply
    159.73x = 220.39 × 97.58
  4. Step 4: Simplify right side
    159.73x = 21,505.96
  5. Step 5: Solve for x
    x = 21,505.96/159.73
  6. Step 6: Final answer
    x = 134.64

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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.