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Finding the Fourth Proportional to 159.75, 220.23 and 107.27

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Solution

The fourth proportional to 159.75, 220.23 and 107.27 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 220.23 = 107.27 : x
  2. Step 2: Convert to fraction form
    159.75/220.23 = 107.27/x
  3. Step 3: Cross multiply
    159.75x = 220.23 × 107.27
  4. Step 4: Simplify right side
    159.75x = 23,622.97
  5. Step 5: Solve for x
    x = 23,622.97/159.75
  6. Step 6: Final answer
    x = 147.87

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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.