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Finding the Fourth Proportional to 159.89, 220.51 and 104.59

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Solution

The fourth proportional to 159.89, 220.51 and 104.59 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.89 : 220.51 = 104.59 : x
  2. Step 2: Convert to fraction form
    159.89/220.51 = 104.59/x
  3. Step 3: Cross multiply
    159.89x = 220.51 × 104.59
  4. Step 4: Simplify right side
    159.89x = 23,063.14
  5. Step 5: Solve for x
    x = 23,063.14/159.89
  6. Step 6: Final answer
    x = 144.24

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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.