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Finding the Fourth Proportional to 163.92, 226.32 and 107.96

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Solution

The fourth proportional to 163.92, 226.32 and 107.96 is: 149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 226.32 = 107.96 : x
  2. Step 2: Convert to fraction form
    163.92/226.32 = 107.96/x
  3. Step 3: Cross multiply
    163.92x = 226.32 × 107.96
  4. Step 4: Simplify right side
    163.92x = 24,433.51
  5. Step 5: Solve for x
    x = 24,433.51/163.92
  6. Step 6: Final answer
    x = 149.06

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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.