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Finding the Fourth Proportional to 159.92, 220.61 and 101.66

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Solution

The fourth proportional to 159.92, 220.61 and 101.66 is: 140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 220.61 = 101.66 : x
  2. Step 2: Convert to fraction form
    159.92/220.61 = 101.66/x
  3. Step 3: Cross multiply
    159.92x = 220.61 × 101.66
  4. Step 4: Simplify right side
    159.92x = 22,427.21
  5. Step 5: Solve for x
    x = 22,427.21/159.92
  6. Step 6: Final answer
    x = 140.24

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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.