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Finding the Fourth Proportional to 103.61, 142.85 and 75.96

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Solution

The fourth proportional to 103.61, 142.85 and 75.96 is: 104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.61 : 142.85 = 75.96 : x
  2. Step 2: Convert to fraction form
    103.61/142.85 = 75.96/x
  3. Step 3: Cross multiply
    103.61x = 142.85 × 75.96
  4. Step 4: Simplify right side
    103.61x = 10,851.08
  5. Step 5: Solve for x
    x = 10,851.08/103.61
  6. Step 6: Final answer
    x = 104.73

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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.