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Finding the Fourth Proportional to 159.92, 220.60 and 101.68

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Solution

The fourth proportional to 159.92, 220.60 and 101.68 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 220.60 = 101.68 : x
  2. Step 2: Convert to fraction form
    159.92/220.60 = 101.68/x
  3. Step 3: Cross multiply
    159.92x = 220.60 × 101.68
  4. Step 4: Simplify right side
    159.92x = 22,430.61
  5. Step 5: Solve for x
    x = 22,430.61/159.92
  6. Step 6: Final answer
    x = 140.26

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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.