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Finding the Fourth Proportional to 79.25, 109.82 and 76.92

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Solution

The fourth proportional to 79.25, 109.82 and 76.92 is: 106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.25 : 109.82 = 76.92 : x
  2. Step 2: Convert to fraction form
    79.25/109.82 = 76.92/x
  3. Step 3: Cross multiply
    79.25x = 109.82 × 76.92
  4. Step 4: Simplify right side
    79.25x = 8,447.13
  5. Step 5: Solve for x
    x = 8,447.13/79.25
  6. Step 6: Final answer
    x = 106.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.