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Finding the Fourth Proportional to 163.69, 226.18 and 121.84

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Solution

The fourth proportional to 163.69, 226.18 and 121.84 is: 168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 226.18 = 121.84 : x
  2. Step 2: Convert to fraction form
    163.69/226.18 = 121.84/x
  3. Step 3: Cross multiply
    163.69x = 226.18 × 121.84
  4. Step 4: Simplify right side
    163.69x = 27,558.14
  5. Step 5: Solve for x
    x = 27,558.14/163.69
  6. Step 6: Final answer
    x = 168.36

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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.