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Finding the Fourth Proportional to 163.12, 225.09 and 89.43

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Solution

The fourth proportional to 163.12, 225.09 and 89.43 is: 123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.12 : 225.09 = 89.43 : x
  2. Step 2: Convert to fraction form
    163.12/225.09 = 89.43/x
  3. Step 3: Cross multiply
    163.12x = 225.09 × 89.43
  4. Step 4: Simplify right side
    163.12x = 20,129.80
  5. Step 5: Solve for x
    x = 20,129.80/163.12
  6. Step 6: Final answer
    x = 123.40

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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.