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Finding the Fourth Proportional to 181.77, 272.44 and 85.38

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Solution

The fourth proportional to 181.77, 272.44 and 85.38 is: 127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.77 : 272.44 = 85.38 : x
  2. Step 2: Convert to fraction form
    181.77/272.44 = 85.38/x
  3. Step 3: Cross multiply
    181.77x = 272.44 × 85.38
  4. Step 4: Simplify right side
    181.77x = 23,260.93
  5. Step 5: Solve for x
    x = 23,260.93/181.77
  6. Step 6: Final answer
    x = 127.97

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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.