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Finding the Fourth Proportional to 159.74, 220.28 and 104.38

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Solution

The fourth proportional to 159.74, 220.28 and 104.38 is: 143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.74 : 220.28 = 104.38 : x
  2. Step 2: Convert to fraction form
    159.74/220.28 = 104.38/x
  3. Step 3: Cross multiply
    159.74x = 220.28 × 104.38
  4. Step 4: Simplify right side
    159.74x = 22,991.20
  5. Step 5: Solve for x
    x = 22,991.20/159.74
  6. Step 6: Final answer
    x = 143.93

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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.