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Finding the Fourth Proportional to 105.55, 144.89 and 104.79

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Solution

The fourth proportional to 105.55, 144.89 and 104.79 is: 143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.55 : 144.89 = 104.79 : x
  2. Step 2: Convert to fraction form
    105.55/144.89 = 104.79/x
  3. Step 3: Cross multiply
    105.55x = 144.89 × 104.79
  4. Step 4: Simplify right side
    105.55x = 15,183.44
  5. Step 5: Solve for x
    x = 15,183.44/105.55
  6. Step 6: Final answer
    x = 143.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.