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Finding the Fourth Proportional to 181.72, 272.56 and 113.68

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Solution

The fourth proportional to 181.72, 272.56 and 113.68 is: 170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.72 : 272.56 = 113.68 : x
  2. Step 2: Convert to fraction form
    181.72/272.56 = 113.68/x
  3. Step 3: Cross multiply
    181.72x = 272.56 × 113.68
  4. Step 4: Simplify right side
    181.72x = 30,984.62
  5. Step 5: Solve for x
    x = 30,984.62/181.72
  6. Step 6: Final answer
    x = 170.51

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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.