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Finding the Fourth Proportional to 163.34, 225.41 and 122.03

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Solution

The fourth proportional to 163.34, 225.41 and 122.03 is: 168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.34 : 225.41 = 122.03 : x
  2. Step 2: Convert to fraction form
    163.34/225.41 = 122.03/x
  3. Step 3: Cross multiply
    163.34x = 225.41 × 122.03
  4. Step 4: Simplify right side
    163.34x = 27,506.78
  5. Step 5: Solve for x
    x = 27,506.78/163.34
  6. Step 6: Final answer
    x = 168.40

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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.