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Finding the Fourth Proportional to 172.78, 259.22 and 81.46

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Solution

The fourth proportional to 172.78, 259.22 and 81.46 is: 122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.78 : 259.22 = 81.46 : x
  2. Step 2: Convert to fraction form
    172.78/259.22 = 81.46/x
  3. Step 3: Cross multiply
    172.78x = 259.22 × 81.46
  4. Step 4: Simplify right side
    172.78x = 21,116.06
  5. Step 5: Solve for x
    x = 21,116.06/172.78
  6. Step 6: Final answer
    x = 122.21

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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.