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Finding the Fourth Proportional to 181.03, 271.56 and 72.82

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Solution

The fourth proportional to 181.03, 271.56 and 72.82 is: 109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.03 : 271.56 = 72.82 : x
  2. Step 2: Convert to fraction form
    181.03/271.56 = 72.82/x
  3. Step 3: Cross multiply
    181.03x = 271.56 × 72.82
  4. Step 4: Simplify right side
    181.03x = 19,775.00
  5. Step 5: Solve for x
    x = 19,775.00/181.03
  6. Step 6: Final answer
    x = 109.24

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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.