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Finding the Fourth Proportional to 190.61, 286.02 and 68.85

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Solution

The fourth proportional to 190.61, 286.02 and 68.85 is: 103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.61 : 286.02 = 68.85 : x
  2. Step 2: Convert to fraction form
    190.61/286.02 = 68.85/x
  3. Step 3: Cross multiply
    190.61x = 286.02 × 68.85
  4. Step 4: Simplify right side
    190.61x = 19,692.48
  5. Step 5: Solve for x
    x = 19,692.48/190.61
  6. Step 6: Final answer
    x = 103.32

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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.