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Finding the Fourth Proportional to 104.65, 144.03 and 75.49

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Solution

The fourth proportional to 104.65, 144.03 and 75.49 is: 103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.65 : 144.03 = 75.49 : x
  2. Step 2: Convert to fraction form
    104.65/144.03 = 75.49/x
  3. Step 3: Cross multiply
    104.65x = 144.03 × 75.49
  4. Step 4: Simplify right side
    104.65x = 10,872.82
  5. Step 5: Solve for x
    x = 10,872.82/104.65
  6. Step 6: Final answer
    x = 103.90

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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.