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Finding the Fourth Proportional to 172.97, 238.71 and 107.47

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Solution

The fourth proportional to 172.97, 238.71 and 107.47 is: 148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 238.71 = 107.47 : x
  2. Step 2: Convert to fraction form
    172.97/238.71 = 107.47/x
  3. Step 3: Cross multiply
    172.97x = 238.71 × 107.47
  4. Step 4: Simplify right side
    172.97x = 25,654.16
  5. Step 5: Solve for x
    x = 25,654.16/172.97
  6. Step 6: Final answer
    x = 148.32

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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.