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Finding the Fourth Proportional to 172.73, 259.09 and 111.83

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Solution

The fourth proportional to 172.73, 259.09 and 111.83 is: 167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.73 : 259.09 = 111.83 : x
  2. Step 2: Convert to fraction form
    172.73/259.09 = 111.83/x
  3. Step 3: Cross multiply
    172.73x = 259.09 × 111.83
  4. Step 4: Simplify right side
    172.73x = 28,972.74
  5. Step 5: Solve for x
    x = 28,972.74/172.73
  6. Step 6: Final answer
    x = 167.74

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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.