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Finding the Fourth Proportional to 94.24, 140.73 and 82.09

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Solution

The fourth proportional to 94.24, 140.73 and 82.09 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.24 : 140.73 = 82.09 : x
  2. Step 2: Convert to fraction form
    94.24/140.73 = 82.09/x
  3. Step 3: Cross multiply
    94.24x = 140.73 × 82.09
  4. Step 4: Simplify right side
    94.24x = 11,551.82
  5. Step 5: Solve for x
    x = 11,551.82/94.24
  6. Step 6: Final answer
    x = 122.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.