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Finding the Fourth Proportional to 181.09, 249.83 and 103.42

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Solution

The fourth proportional to 181.09, 249.83 and 103.42 is: 142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.09 : 249.83 = 103.42 : x
  2. Step 2: Convert to fraction form
    181.09/249.83 = 103.42/x
  3. Step 3: Cross multiply
    181.09x = 249.83 × 103.42
  4. Step 4: Simplify right side
    181.09x = 25,836.17
  5. Step 5: Solve for x
    x = 25,836.17/181.09
  6. Step 6: Final answer
    x = 142.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.