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Finding the Fourth Proportional to 172.71, 259.25 and 107.78

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Solution

The fourth proportional to 172.71, 259.25 and 107.78 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 259.25 = 107.78 : x
  2. Step 2: Convert to fraction form
    172.71/259.25 = 107.78/x
  3. Step 3: Cross multiply
    172.71x = 259.25 × 107.78
  4. Step 4: Simplify right side
    172.71x = 27,940.13
  5. Step 5: Solve for x
    x = 27,940.13/172.71
  6. Step 6: Final answer
    x = 161.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.