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Finding the Fourth Proportional to 190.54, 262.94 and 103.21

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Solution

The fourth proportional to 190.54, 262.94 and 103.21 is: 142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 262.94 = 103.21 : x
  2. Step 2: Convert to fraction form
    190.54/262.94 = 103.21/x
  3. Step 3: Cross multiply
    190.54x = 262.94 × 103.21
  4. Step 4: Simplify right side
    190.54x = 27,138.62
  5. Step 5: Solve for x
    x = 27,138.62/190.54
  6. Step 6: Final answer
    x = 142.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.