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Finding the Fourth Proportional to 163.29, 225.32 and 89.61

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Solution

The fourth proportional to 163.29, 225.32 and 89.61 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 225.32 = 89.61 : x
  2. Step 2: Convert to fraction form
    163.29/225.32 = 89.61/x
  3. Step 3: Cross multiply
    163.29x = 225.32 × 89.61
  4. Step 4: Simplify right side
    163.29x = 20,190.93
  5. Step 5: Solve for x
    x = 20,190.93/163.29
  6. Step 6: Final answer
    x = 123.65

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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.