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Finding the Fourth Proportional to 120.14, 165.85 and 75.92

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Solution

The fourth proportional to 120.14, 165.85 and 75.92 is: 104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 165.85 = 75.92 : x
  2. Step 2: Convert to fraction form
    120.14/165.85 = 75.92/x
  3. Step 3: Cross multiply
    120.14x = 165.85 × 75.92
  4. Step 4: Simplify right side
    120.14x = 12,591.25
  5. Step 5: Solve for x
    x = 12,591.25/120.14
  6. Step 6: Final answer
    x = 104.80

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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.