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Finding the Fourth Proportional to 191.42, 287.13 and 75.86

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Solution

The fourth proportional to 191.42, 287.13 and 75.86 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.42 : 287.13 = 75.86 : x
  2. Step 2: Convert to fraction form
    191.42/287.13 = 75.86/x
  3. Step 3: Cross multiply
    191.42x = 287.13 × 75.86
  4. Step 4: Simplify right side
    191.42x = 21,781.68
  5. Step 5: Solve for x
    x = 21,781.68/191.42
  6. Step 6: Final answer
    x = 113.79

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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.