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Finding the Fourth Proportional to 163.17, 225.20 and 97.67

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Solution

The fourth proportional to 163.17, 225.20 and 97.67 is: 134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.17 : 225.20 = 97.67 : x
  2. Step 2: Convert to fraction form
    163.17/225.20 = 97.67/x
  3. Step 3: Cross multiply
    163.17x = 225.20 × 97.67
  4. Step 4: Simplify right side
    163.17x = 21,993.67
  5. Step 5: Solve for x
    x = 21,993.67/163.17
  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.