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Finding the Fourth Proportional to 190.75, 286.14 and 53.80

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Solution

The fourth proportional to 190.75, 286.14 and 53.80 is: 80.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 286.14 = 53.80 : x
  2. Step 2: Convert to fraction form
    190.75/286.14 = 53.80/x
  3. Step 3: Cross multiply
    190.75x = 286.14 × 53.80
  4. Step 4: Simplify right side
    190.75x = 15,394.33
  5. Step 5: Solve for x
    x = 15,394.33/190.75
  6. Step 6: Final answer
    x = 80.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.