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Finding the Fourth Proportional to 191.12, 286.22 and 109.71

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Solution

The fourth proportional to 191.12, 286.22 and 109.71 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.12 : 286.22 = 109.71 : x
  2. Step 2: Convert to fraction form
    191.12/286.22 = 109.71/x
  3. Step 3: Cross multiply
    191.12x = 286.22 × 109.71
  4. Step 4: Simplify right side
    191.12x = 31,402.54
  5. Step 5: Solve for x
    x = 31,402.54/191.12
  6. Step 6: Final answer
    x = 164.31

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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.