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Finding the Fourth Proportional to 105.78, 158.46 and 76.92

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Solution

The fourth proportional to 105.78, 158.46 and 76.92 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.78 : 158.46 = 76.92 : x
  2. Step 2: Convert to fraction form
    105.78/158.46 = 76.92/x
  3. Step 3: Cross multiply
    105.78x = 158.46 × 76.92
  4. Step 4: Simplify right side
    105.78x = 12,188.74
  5. Step 5: Solve for x
    x = 12,188.74/105.78
  6. Step 6: Final answer
    x = 115.23

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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.