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Finding the Fourth Proportional to 126.75, 190.00 and 68.23

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Solution

The fourth proportional to 126.75, 190.00 and 68.23 is: 102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 190.00 = 68.23 : x
  2. Step 2: Convert to fraction form
    126.75/190.00 = 68.23/x
  3. Step 3: Cross multiply
    126.75x = 190.00 × 68.23
  4. Step 4: Simplify right side
    126.75x = 12,962.57
  5. Step 5: Solve for x
    x = 12,962.57/126.75
  6. Step 6: Final answer
    x = 102.27

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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.