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Finding the Fourth Proportional to 172.97, 238.73 and 107.43

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Solution

The fourth proportional to 172.97, 238.73 and 107.43 is: 148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 238.73 = 107.43 : x
  2. Step 2: Convert to fraction form
    172.97/238.73 = 107.43/x
  3. Step 3: Cross multiply
    172.97x = 238.73 × 107.43
  4. Step 4: Simplify right side
    172.97x = 25,647.03
  5. Step 5: Solve for x
    x = 25,647.03/172.97
  6. Step 6: Final answer
    x = 148.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.