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Finding the Fourth Proportional to 94.82, 142.22 and 40.71

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Solution

The fourth proportional to 94.82, 142.22 and 40.71 is: 61.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.82 : 142.22 = 40.71 : x
  2. Step 2: Convert to fraction form
    94.82/142.22 = 40.71/x
  3. Step 3: Cross multiply
    94.82x = 142.22 × 40.71
  4. Step 4: Simplify right side
    94.82x = 5,789.57
  5. Step 5: Solve for x
    x = 5,789.57/94.82
  6. Step 6: Final answer
    x = 61.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.