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Finding the Fourth Proportional to 146.46, 202.09 and 80.96

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Solution

The fourth proportional to 146.46, 202.09 and 80.96 is: 111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 202.09 = 80.96 : x
  2. Step 2: Convert to fraction form
    146.46/202.09 = 80.96/x
  3. Step 3: Cross multiply
    146.46x = 202.09 × 80.96
  4. Step 4: Simplify right side
    146.46x = 16,361.21
  5. Step 5: Solve for x
    x = 16,361.21/146.46
  6. Step 6: Final answer
    x = 111.71

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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.