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Finding the Fourth Proportional to 172.82, 259.09 and 81.56

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Solution

The fourth proportional to 172.82, 259.09 and 81.56 is: 122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 259.09 = 81.56 : x
  2. Step 2: Convert to fraction form
    172.82/259.09 = 81.56/x
  3. Step 3: Cross multiply
    172.82x = 259.09 × 81.56
  4. Step 4: Simplify right side
    172.82x = 21,131.82
  5. Step 5: Solve for x
    x = 21,131.82/172.82
  6. Step 6: Final answer
    x = 122.27

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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.