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Finding the Fourth Proportional to 163.20, 225.14 and 97.71

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Solution

The fourth proportional to 163.20, 225.14 and 97.71 is: 134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 225.14 = 97.71 : x
  2. Step 2: Convert to fraction form
    163.20/225.14 = 97.71/x
  3. Step 3: Cross multiply
    163.20x = 225.14 × 97.71
  4. Step 4: Simplify right side
    163.20x = 21,998.43
  5. Step 5: Solve for x
    x = 21,998.43/163.20
  6. Step 6: Final answer
    x = 134.79

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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.