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Finding the Fourth Proportional to 76.92, 106.16 and 44.18

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Solution

The fourth proportional to 76.92, 106.16 and 44.18 is: 60.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 106.16 = 44.18 : x
  2. Step 2: Convert to fraction form
    76.92/106.16 = 44.18/x
  3. Step 3: Cross multiply
    76.92x = 106.16 × 44.18
  4. Step 4: Simplify right side
    76.92x = 4,689.40
  5. Step 5: Solve for x
    x = 4,689.40/76.92
  6. Step 6: Final answer
    x = 60.96

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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.