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Finding the Fourth Proportional to 126.84, 190.02 and 75.33

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Solution

The fourth proportional to 126.84, 190.02 and 75.33 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.84 : 190.02 = 75.33 : x
  2. Step 2: Convert to fraction form
    126.84/190.02 = 75.33/x
  3. Step 3: Cross multiply
    126.84x = 190.02 × 75.33
  4. Step 4: Simplify right side
    126.84x = 14,314.21
  5. Step 5: Solve for x
    x = 14,314.21/126.84
  6. Step 6: Final answer
    x = 112.85

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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.