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Finding the Fourth Proportional to 159.66, 220.33 and 89.73

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Solution

The fourth proportional to 159.66, 220.33 and 89.73 is: 123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.66 : 220.33 = 89.73 : x
  2. Step 2: Convert to fraction form
    159.66/220.33 = 89.73/x
  3. Step 3: Cross multiply
    159.66x = 220.33 × 89.73
  4. Step 4: Simplify right side
    159.66x = 19,770.21
  5. Step 5: Solve for x
    x = 19,770.21/159.66
  6. Step 6: Final answer
    x = 123.83

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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.