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Finding the Fourth Proportional to 142.28, 213.41 and 96.51

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Solution

The fourth proportional to 142.28, 213.41 and 96.51 is: 144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 213.41 = 96.51 : x
  2. Step 2: Convert to fraction form
    142.28/213.41 = 96.51/x
  3. Step 3: Cross multiply
    142.28x = 213.41 × 96.51
  4. Step 4: Simplify right side
    142.28x = 20,595.72
  5. Step 5: Solve for x
    x = 20,595.72/142.28
  6. Step 6: Final answer
    x = 144.76

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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.