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Finding the Fourth Proportional to 142.13, 213.27 and 107.88

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Solution

The fourth proportional to 142.13, 213.27 and 107.88 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 213.27 = 107.88 : x
  2. Step 2: Convert to fraction form
    142.13/213.27 = 107.88/x
  3. Step 3: Cross multiply
    142.13x = 213.27 × 107.88
  4. Step 4: Simplify right side
    142.13x = 23,007.57
  5. Step 5: Solve for x
    x = 23,007.57/142.13
  6. Step 6: Final answer
    x = 161.88

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