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Finding the Fourth Proportional to 181.92, 272.52 and 109.74

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Solution

The fourth proportional to 181.92, 272.52 and 109.74 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.92 : 272.52 = 109.74 : x
  2. Step 2: Convert to fraction form
    181.92/272.52 = 109.74/x
  3. Step 3: Cross multiply
    181.92x = 272.52 × 109.74
  4. Step 4: Simplify right side
    181.92x = 29,906.34
  5. Step 5: Solve for x
    x = 29,906.34/181.92
  6. Step 6: Final answer
    x = 164.39

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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.