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Finding the Fourth Proportional to 142.14, 213.23 and 96.78

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Solution

The fourth proportional to 142.14, 213.23 and 96.78 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 213.23 = 96.78 : x
  2. Step 2: Convert to fraction form
    142.14/213.23 = 96.78/x
  3. Step 3: Cross multiply
    142.14x = 213.23 × 96.78
  4. Step 4: Simplify right side
    142.14x = 20,635.92
  5. Step 5: Solve for x
    x = 20,635.92/142.14
  6. Step 6: Final answer
    x = 145.18

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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.