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Finding the Fourth Proportional to 163.92, 226.12 and 105.68

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Solution

The fourth proportional to 163.92, 226.12 and 105.68 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 226.12 = 105.68 : x
  2. Step 2: Convert to fraction form
    163.92/226.12 = 105.68/x
  3. Step 3: Cross multiply
    163.92x = 226.12 × 105.68
  4. Step 4: Simplify right side
    163.92x = 23,896.36
  5. Step 5: Solve for x
    x = 23,896.36/163.92
  6. Step 6: Final answer
    x = 145.78

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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.