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Finding the Fourth Proportional to 142.81, 213.33 and 122.31

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Solution

The fourth proportional to 142.81, 213.33 and 122.31 is: 182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.81 : 213.33 = 122.31 : x
  2. Step 2: Convert to fraction form
    142.81/213.33 = 122.31/x
  3. Step 3: Cross multiply
    142.81x = 213.33 × 122.31
  4. Step 4: Simplify right side
    142.81x = 26,092.85
  5. Step 5: Solve for x
    x = 26,092.85/142.81
  6. Step 6: Final answer
    x = 182.71

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