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Finding the Fourth Proportional to 143.22, 213.64 and 126.82

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Solution

The fourth proportional to 143.22, 213.64 and 126.82 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.22 : 213.64 = 126.82 : x
  2. Step 2: Convert to fraction form
    143.22/213.64 = 126.82/x
  3. Step 3: Cross multiply
    143.22x = 213.64 × 126.82
  4. Step 4: Simplify right side
    143.22x = 27,093.82
  5. Step 5: Solve for x
    x = 27,093.82/143.22
  6. Step 6: Final answer
    x = 189.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.