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Finding the Fourth Proportional to 181.21, 271.97 and 83.86

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Solution

The fourth proportional to 181.21, 271.97 and 83.86 is: 125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.21 : 271.97 = 83.86 : x
  2. Step 2: Convert to fraction form
    181.21/271.97 = 83.86/x
  3. Step 3: Cross multiply
    181.21x = 271.97 × 83.86
  4. Step 4: Simplify right side
    181.21x = 22,805.63
  5. Step 5: Solve for x
    x = 22,805.63/181.21
  6. Step 6: Final answer
    x = 125.86

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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.