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Finding the Fourth Proportional to 142.23, 213.34 and 126.39

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Solution

The fourth proportional to 142.23, 213.34 and 126.39 is: 189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.23 : 213.34 = 126.39 : x
  2. Step 2: Convert to fraction form
    142.23/213.34 = 126.39/x
  3. Step 3: Cross multiply
    142.23x = 213.34 × 126.39
  4. Step 4: Simplify right side
    142.23x = 26,964.04
  5. Step 5: Solve for x
    x = 26,964.04/142.23
  6. Step 6: Final answer
    x = 189.58

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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.