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Finding the Fourth Proportional to 163.25, 225.29 and 97.81

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Solution

The fourth proportional to 163.25, 225.29 and 97.81 is: 134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.25 : 225.29 = 97.81 : x
  2. Step 2: Convert to fraction form
    163.25/225.29 = 97.81/x
  3. Step 3: Cross multiply
    163.25x = 225.29 × 97.81
  4. Step 4: Simplify right side
    163.25x = 22,035.61
  5. Step 5: Solve for x
    x = 22,035.61/163.25
  6. Step 6: Final answer
    x = 134.98

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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.