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Finding the Fourth Proportional to 142.19, 213.09 and 81.23

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Solution

The fourth proportional to 142.19, 213.09 and 81.23 is: 121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 213.09 = 81.23 : x
  2. Step 2: Convert to fraction form
    142.19/213.09 = 81.23/x
  3. Step 3: Cross multiply
    142.19x = 213.09 × 81.23
  4. Step 4: Simplify right side
    142.19x = 17,308.24
  5. Step 5: Solve for x
    x = 17,308.24/142.19
  6. Step 6: Final answer
    x = 121.73

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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.