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Finding the Fourth Proportional to 142.27, 213.40 and 50.94

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Solution

The fourth proportional to 142.27, 213.40 and 50.94 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.27 : 213.40 = 50.94 : x
  2. Step 2: Convert to fraction form
    142.27/213.40 = 50.94/x
  3. Step 3: Cross multiply
    142.27x = 213.40 × 50.94
  4. Step 4: Simplify right side
    142.27x = 10,871.74
  5. Step 5: Solve for x
    x = 10,871.74/142.27
  6. Step 6: Final answer
    x = 76.42

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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.