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Finding the Fourth Proportional to 103.20, 142.43 and 75.66

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Solution

The fourth proportional to 103.20, 142.43 and 75.66 is: 104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 142.43 = 75.66 : x
  2. Step 2: Convert to fraction form
    103.20/142.43 = 75.66/x
  3. Step 3: Cross multiply
    103.20x = 142.43 × 75.66
  4. Step 4: Simplify right side
    103.20x = 10,776.25
  5. Step 5: Solve for x
    x = 10,776.25/103.20
  6. Step 6: Final answer
    x = 104.42

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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.