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Finding the Fourth Proportional to 159.73, 220.42 and 100.70

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Solution

The fourth proportional to 159.73, 220.42 and 100.70 is: 138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.73 : 220.42 = 100.70 : x
  2. Step 2: Convert to fraction form
    159.73/220.42 = 100.70/x
  3. Step 3: Cross multiply
    159.73x = 220.42 × 100.70
  4. Step 4: Simplify right side
    159.73x = 22,196.04
  5. Step 5: Solve for x
    x = 22,196.04/159.73
  6. Step 6: Final answer
    x = 138.96

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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.