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Finding the Fourth Proportional to 191.06, 286.62 and 81.37

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Solution

The fourth proportional to 191.06, 286.62 and 81.37 is: 122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 286.62 = 81.37 : x
  2. Step 2: Convert to fraction form
    191.06/286.62 = 81.37/x
  3. Step 3: Cross multiply
    191.06x = 286.62 × 81.37
  4. Step 4: Simplify right side
    191.06x = 23,322.27
  5. Step 5: Solve for x
    x = 23,322.27/191.06
  6. Step 6: Final answer
    x = 122.07

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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.