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Finding the Fourth Proportional to 163.27, 225.38 and 97.81

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Solution

The fourth proportional to 163.27, 225.38 and 97.81 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 225.38 = 97.81 : x
  2. Step 2: Convert to fraction form
    163.27/225.38 = 97.81/x
  3. Step 3: Cross multiply
    163.27x = 225.38 × 97.81
  4. Step 4: Simplify right side
    163.27x = 22,044.10
  5. Step 5: Solve for x
    x = 22,044.10/163.27
  6. Step 6: Final answer
    x = 135.02

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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.