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Finding the Fourth Proportional to 191, 286.49 and 54.05

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Solution

The fourth proportional to 191, 286.49 and 54.05 is: 81.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 286.49 = 54.05 : x
  2. Step 2: Convert to fraction form
    191/286.49 = 54.05/x
  3. Step 3: Cross multiply
    191x = 286.49 × 54.05
  4. Step 4: Simplify right side
    191x = 15,484.78
  5. Step 5: Solve for x
    x = 15,484.78/191
  6. Step 6: Final answer
    x = 81.07

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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.