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Finding the Fourth Proportional to 133.54, 183.25 and 121.22

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Solution

The fourth proportional to 133.54, 183.25 and 121.22 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.54 : 183.25 = 121.22 : x
  2. Step 2: Convert to fraction form
    133.54/183.25 = 121.22/x
  3. Step 3: Cross multiply
    133.54x = 183.25 × 121.22
  4. Step 4: Simplify right side
    133.54x = 22,213.57
  5. Step 5: Solve for x
    x = 22,213.57/133.54
  6. Step 6: Final answer
    x = 166.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.