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Finding the Fourth Proportional to 190.73, 285.93 and 68.97

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Solution

The fourth proportional to 190.73, 285.93 and 68.97 is: 103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.73 : 285.93 = 68.97 : x
  2. Step 2: Convert to fraction form
    190.73/285.93 = 68.97/x
  3. Step 3: Cross multiply
    190.73x = 285.93 × 68.97
  4. Step 4: Simplify right side
    190.73x = 19,720.72
  5. Step 5: Solve for x
    x = 19,720.72/190.73
  6. Step 6: Final answer
    x = 103.39

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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.