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Finding the Fourth Proportional to 181.85, 272.41 and 85.73

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Solution

The fourth proportional to 181.85, 272.41 and 85.73 is: 128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 272.41 = 85.73 : x
  2. Step 2: Convert to fraction form
    181.85/272.41 = 85.73/x
  3. Step 3: Cross multiply
    181.85x = 272.41 × 85.73
  4. Step 4: Simplify right side
    181.85x = 23,352.13
  5. Step 5: Solve for x
    x = 23,352.13/181.85
  6. Step 6: Final answer
    x = 128.42

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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.