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Finding the Fourth Proportional to 146.93, 221.39 and 121.80

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Solution

The fourth proportional to 146.93, 221.39 and 121.80 is: 183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.93 : 221.39 = 121.80 : x
  2. Step 2: Convert to fraction form
    146.93/221.39 = 121.80/x
  3. Step 3: Cross multiply
    146.93x = 221.39 × 121.80
  4. Step 4: Simplify right side
    146.93x = 26,964.69
  5. Step 5: Solve for x
    x = 26,964.69/146.93
  6. Step 6: Final answer
    x = 183.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.