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Finding the Fourth Proportional to 104.25, 143.78 and 75.09

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Solution

The fourth proportional to 104.25, 143.78 and 75.09 is: 103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.25 : 143.78 = 75.09 : x
  2. Step 2: Convert to fraction form
    104.25/143.78 = 75.09/x
  3. Step 3: Cross multiply
    104.25x = 143.78 × 75.09
  4. Step 4: Simplify right side
    104.25x = 10,796.60
  5. Step 5: Solve for x
    x = 10,796.60/104.25
  6. Step 6: Final answer
    x = 103.56

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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.