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Finding the Fourth Proportional to 181.82, 272.74 and 51.84

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Solution

The fourth proportional to 181.82, 272.74 and 51.84 is: 77.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.82 : 272.74 = 51.84 : x
  2. Step 2: Convert to fraction form
    181.82/272.74 = 51.84/x
  3. Step 3: Cross multiply
    181.82x = 272.74 × 51.84
  4. Step 4: Simplify right side
    181.82x = 14,137.90
  5. Step 5: Solve for x
    x = 14,137.90/181.82
  6. Step 6: Final answer
    x = 77.76

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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.