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Finding the Fourth Proportional to 146.44, 202.09 and 80.94

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Solution

The fourth proportional to 146.44, 202.09 and 80.94 is: 111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.44 : 202.09 = 80.94 : x
  2. Step 2: Convert to fraction form
    146.44/202.09 = 80.94/x
  3. Step 3: Cross multiply
    146.44x = 202.09 × 80.94
  4. Step 4: Simplify right side
    146.44x = 16,357.37
  5. Step 5: Solve for x
    x = 16,357.37/146.44
  6. Step 6: Final answer
    x = 111.70

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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.