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Finding the Fourth Proportional to 79.92, 119.94 and 75.66

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Solution

The fourth proportional to 79.92, 119.94 and 75.66 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 119.94 = 75.66 : x
  2. Step 2: Convert to fraction form
    79.92/119.94 = 75.66/x
  3. Step 3: Cross multiply
    79.92x = 119.94 × 75.66
  4. Step 4: Simplify right side
    79.92x = 9,074.66
  5. Step 5: Solve for x
    x = 9,074.66/79.92
  6. Step 6: Final answer
    x = 113.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.