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Finding the Fourth Proportional to 159.83, 220.57 and 97.69

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Solution

The fourth proportional to 159.83, 220.57 and 97.69 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.83 : 220.57 = 97.69 : x
  2. Step 2: Convert to fraction form
    159.83/220.57 = 97.69/x
  3. Step 3: Cross multiply
    159.83x = 220.57 × 97.69
  4. Step 4: Simplify right side
    159.83x = 21,546.69
  5. Step 5: Solve for x
    x = 21,546.69/159.83
  6. Step 6: Final answer
    x = 134.81

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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.