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Finding the Fourth Proportional to 146.27, 202.16 and 121.66

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Solution

The fourth proportional to 146.27, 202.16 and 121.66 is: 168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.27 : 202.16 = 121.66 : x
  2. Step 2: Convert to fraction form
    146.27/202.16 = 121.66/x
  3. Step 3: Cross multiply
    146.27x = 202.16 × 121.66
  4. Step 4: Simplify right side
    146.27x = 24,594.58
  5. Step 5: Solve for x
    x = 24,594.58/146.27
  6. Step 6: Final answer
    x = 168.14

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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.