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Finding the Fourth Proportional to 94.41, 140.82 and 80.07

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Solution

The fourth proportional to 94.41, 140.82 and 80.07 is: 119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.41 : 140.82 = 80.07 : x
  2. Step 2: Convert to fraction form
    94.41/140.82 = 80.07/x
  3. Step 3: Cross multiply
    94.41x = 140.82 × 80.07
  4. Step 4: Simplify right side
    94.41x = 11,275.46
  5. Step 5: Solve for x
    x = 11,275.46/94.41
  6. Step 6: Final answer
    x = 119.43

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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.