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Finding the Fourth Proportional to 121.35, 166.25 and 119.83

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Solution

The fourth proportional to 121.35, 166.25 and 119.83 is: 164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.35 : 166.25 = 119.83 : x
  2. Step 2: Convert to fraction form
    121.35/166.25 = 119.83/x
  3. Step 3: Cross multiply
    121.35x = 166.25 × 119.83
  4. Step 4: Simplify right side
    121.35x = 19,921.62
  5. Step 5: Solve for x
    x = 19,921.62/121.35
  6. Step 6: Final answer
    x = 164.17

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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.