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Finding the Fourth Proportional to 191.78, 287.78 and 105.12

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Solution

The fourth proportional to 191.78, 287.78 and 105.12 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.78 : 287.78 = 105.12 : x
  2. Step 2: Convert to fraction form
    191.78/287.78 = 105.12/x
  3. Step 3: Cross multiply
    191.78x = 287.78 × 105.12
  4. Step 4: Simplify right side
    191.78x = 30,251.43
  5. Step 5: Solve for x
    x = 30,251.43/191.78
  6. Step 6: Final answer
    x = 157.74

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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.