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Finding the Fourth Proportional to 76.92, 106.66 and 75.60

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Solution

The fourth proportional to 76.92, 106.66 and 75.60 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 106.66 = 75.60 : x
  2. Step 2: Convert to fraction form
    76.92/106.66 = 75.60/x
  3. Step 3: Cross multiply
    76.92x = 106.66 × 75.60
  4. Step 4: Simplify right side
    76.92x = 8,063.50
  5. Step 5: Solve for x
    x = 8,063.50/76.92
  6. Step 6: Final answer
    x = 104.83

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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.