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Finding the Fourth Proportional to 163.36, 225.46 and 97.92

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Solution

The fourth proportional to 163.36, 225.46 and 97.92 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 225.46 = 97.92 : x
  2. Step 2: Convert to fraction form
    163.36/225.46 = 97.92/x
  3. Step 3: Cross multiply
    163.36x = 225.46 × 97.92
  4. Step 4: Simplify right side
    163.36x = 22,077.04
  5. Step 5: Solve for x
    x = 22,077.04/163.36
  6. Step 6: Final answer
    x = 135.14

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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.