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Finding the Fourth Proportional to 159.44, 220.23 and 123.05

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Solution

The fourth proportional to 159.44, 220.23 and 123.05 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.44 : 220.23 = 123.05 : x
  2. Step 2: Convert to fraction form
    159.44/220.23 = 123.05/x
  3. Step 3: Cross multiply
    159.44x = 220.23 × 123.05
  4. Step 4: Simplify right side
    159.44x = 27,099.30
  5. Step 5: Solve for x
    x = 27,099.30/159.44
  6. Step 6: Final answer
    x = 169.97

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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.