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Finding the Fourth Proportional to 181.57, 272.25 and 73.24

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Solution

The fourth proportional to 181.57, 272.25 and 73.24 is: 109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.57 : 272.25 = 73.24 : x
  2. Step 2: Convert to fraction form
    181.57/272.25 = 73.24/x
  3. Step 3: Cross multiply
    181.57x = 272.25 × 73.24
  4. Step 4: Simplify right side
    181.57x = 19,939.59
  5. Step 5: Solve for x
    x = 19,939.59/181.57
  6. Step 6: Final answer
    x = 109.82

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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.