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Finding the Fourth Proportional to 105.68, 158.16 and 77.12

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Solution

The fourth proportional to 105.68, 158.16 and 77.12 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 158.16 = 77.12 : x
  2. Step 2: Convert to fraction form
    105.68/158.16 = 77.12/x
  3. Step 3: Cross multiply
    105.68x = 158.16 × 77.12
  4. Step 4: Simplify right side
    105.68x = 12,197.30
  5. Step 5: Solve for x
    x = 12,197.30/105.68
  6. Step 6: Final answer
    x = 115.42

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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.