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Finding the Fourth Proportional to 163.71, 225.99 and 122.33

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Solution

The fourth proportional to 163.71, 225.99 and 122.33 is: 168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.71 : 225.99 = 122.33 : x
  2. Step 2: Convert to fraction form
    163.71/225.99 = 122.33/x
  3. Step 3: Cross multiply
    163.71x = 225.99 × 122.33
  4. Step 4: Simplify right side
    163.71x = 27,645.92
  5. Step 5: Solve for x
    x = 27,645.92/163.71
  6. Step 6: Final answer
    x = 168.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.