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Finding the Fourth Proportional to 181.69, 272.61 and 84.24

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Solution

The fourth proportional to 181.69, 272.61 and 84.24 is: 126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 272.61 = 84.24 : x
  2. Step 2: Convert to fraction form
    181.69/272.61 = 84.24/x
  3. Step 3: Cross multiply
    181.69x = 272.61 × 84.24
  4. Step 4: Simplify right side
    181.69x = 22,964.25
  5. Step 5: Solve for x
    x = 22,964.25/181.69
  6. Step 6: Final answer
    x = 126.39

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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.