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Finding the Fourth Proportional to 142.11, 213.16 and 50.75

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Solution

The fourth proportional to 142.11, 213.16 and 50.75 is: 76.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.11 : 213.16 = 50.75 : x
  2. Step 2: Convert to fraction form
    142.11/213.16 = 50.75/x
  3. Step 3: Cross multiply
    142.11x = 213.16 × 50.75
  4. Step 4: Simplify right side
    142.11x = 10,817.87
  5. Step 5: Solve for x
    x = 10,817.87/142.11
  6. Step 6: Final answer
    x = 76.12

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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.