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Finding the Fourth Proportional to 191.24, 286.96 and 83.10

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Solution

The fourth proportional to 191.24, 286.96 and 83.10 is: 124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.24 : 286.96 = 83.10 : x
  2. Step 2: Convert to fraction form
    191.24/286.96 = 83.10/x
  3. Step 3: Cross multiply
    191.24x = 286.96 × 83.10
  4. Step 4: Simplify right side
    191.24x = 23,846.38
  5. Step 5: Solve for x
    x = 23,846.38/191.24
  6. Step 6: Final answer
    x = 124.69

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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.