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Finding the Fourth Proportional to 191.07, 286.58 and 54.11

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Solution

The fourth proportional to 191.07, 286.58 and 54.11 is: 81.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.07 : 286.58 = 54.11 : x
  2. Step 2: Convert to fraction form
    191.07/286.58 = 54.11/x
  3. Step 3: Cross multiply
    191.07x = 286.58 × 54.11
  4. Step 4: Simplify right side
    191.07x = 15,505.14
  5. Step 5: Solve for x
    x = 15,505.14/191.07
  6. Step 6: Final answer
    x = 81.15

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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.