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Finding the Fourth Proportional to 163.18, 225.20 and 97.66

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Solution

The fourth proportional to 163.18, 225.20 and 97.66 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.18 : 225.20 = 97.66 : x
  2. Step 2: Convert to fraction form
    163.18/225.20 = 97.66/x
  3. Step 3: Cross multiply
    163.18x = 225.20 × 97.66
  4. Step 4: Simplify right side
    163.18x = 21,993.03
  5. Step 5: Solve for x
    x = 21,993.03/163.18
  6. Step 6: Final answer
    x = 134.78

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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.