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Finding the Fourth Proportional to 142.28, 213.46 and 84.48

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Solution

The fourth proportional to 142.28, 213.46 and 84.48 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 213.46 = 84.48 : x
  2. Step 2: Convert to fraction form
    142.28/213.46 = 84.48/x
  3. Step 3: Cross multiply
    142.28x = 213.46 × 84.48
  4. Step 4: Simplify right side
    142.28x = 18,033.10
  5. Step 5: Solve for x
    x = 18,033.10/142.28
  6. Step 6: Final answer
    x = 126.74

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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.