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Finding the Fourth Proportional to 190.75, 286.10 and 53.79

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Solution

The fourth proportional to 190.75, 286.10 and 53.79 is: 80.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 286.10 = 53.79 : x
  2. Step 2: Convert to fraction form
    190.75/286.10 = 53.79/x
  3. Step 3: Cross multiply
    190.75x = 286.10 × 53.79
  4. Step 4: Simplify right side
    190.75x = 15,389.05
  5. Step 5: Solve for x
    x = 15,389.05/190.75
  6. Step 6: Final answer
    x = 80.68

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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.