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Finding the Fourth Proportional to 191.09, 286.48 and 75.61

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Solution

The fourth proportional to 191.09, 286.48 and 75.61 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 286.48 = 75.61 : x
  2. Step 2: Convert to fraction form
    191.09/286.48 = 75.61/x
  3. Step 3: Cross multiply
    191.09x = 286.48 × 75.61
  4. Step 4: Simplify right side
    191.09x = 21,660.75
  5. Step 5: Solve for x
    x = 21,660.75/191.09
  6. Step 6: Final answer
    x = 113.35

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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.