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Finding the Fourth Proportional to 181.91, 273.03 and 84.46

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Solution

The fourth proportional to 181.91, 273.03 and 84.46 is: 126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.91 : 273.03 = 84.46 : x
  2. Step 2: Convert to fraction form
    181.91/273.03 = 84.46/x
  3. Step 3: Cross multiply
    181.91x = 273.03 × 84.46
  4. Step 4: Simplify right side
    181.91x = 23,060.11
  5. Step 5: Solve for x
    x = 23,060.11/181.91
  6. Step 6: Final answer
    x = 126.77

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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.