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Finding the Fourth Proportional to 159.87, 220.53 and 101.61

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Solution

The fourth proportional to 159.87, 220.53 and 101.61 is: 140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.87 : 220.53 = 101.61 : x
  2. Step 2: Convert to fraction form
    159.87/220.53 = 101.61/x
  3. Step 3: Cross multiply
    159.87x = 220.53 × 101.61
  4. Step 4: Simplify right side
    159.87x = 22,408.05
  5. Step 5: Solve for x
    x = 22,408.05/159.87
  6. Step 6: Final answer
    x = 140.16

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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.