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Finding the Fourth Proportional to 142.49, 213.81 and 96.25

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Solution

The fourth proportional to 142.49, 213.81 and 96.25 is: 144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.49 : 213.81 = 96.25 : x
  2. Step 2: Convert to fraction form
    142.49/213.81 = 96.25/x
  3. Step 3: Cross multiply
    142.49x = 213.81 × 96.25
  4. Step 4: Simplify right side
    142.49x = 20,579.21
  5. Step 5: Solve for x
    x = 20,579.21/142.49
  6. Step 6: Final answer
    x = 144.43

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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.