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Finding the Fourth Proportional to 191.44, 287.28 and 106

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Solution

The fourth proportional to 191.44, 287.28 and 106 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.44 : 287.28 = 106 : x
  2. Step 2: Convert to fraction form
    191.44/287.28 = 106/x
  3. Step 3: Cross multiply
    191.44x = 287.28 × 106
  4. Step 4: Simplify right side
    191.44x = 30,451.68
  5. Step 5: Solve for x
    x = 30,451.68/191.44
  6. Step 6: Final answer
    x = 159.07

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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.