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Finding the Fourth Proportional to 191.08, 285.76 and 109.52

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Solution

The fourth proportional to 191.08, 285.76 and 109.52 is: 163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.08 : 285.76 = 109.52 : x
  2. Step 2: Convert to fraction form
    191.08/285.76 = 109.52/x
  3. Step 3: Cross multiply
    191.08x = 285.76 × 109.52
  4. Step 4: Simplify right side
    191.08x = 31,296.44
  5. Step 5: Solve for x
    x = 31,296.44/191.08
  6. Step 6: Final answer
    x = 163.79

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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.