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Finding the Fourth Proportional to 181.43, 272.14 and 73.19

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Solution

The fourth proportional to 181.43, 272.14 and 73.19 is: 109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.43 : 272.14 = 73.19 : x
  2. Step 2: Convert to fraction form
    181.43/272.14 = 73.19/x
  3. Step 3: Cross multiply
    181.43x = 272.14 × 73.19
  4. Step 4: Simplify right side
    181.43x = 19,917.93
  5. Step 5: Solve for x
    x = 19,917.93/181.43
  6. Step 6: Final answer
    x = 109.78

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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.