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Finding the Fourth Proportional to 172.54, 238.03 and 107

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Solution

The fourth proportional to 172.54, 238.03 and 107 is: 147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.54 : 238.03 = 107 : x
  2. Step 2: Convert to fraction form
    172.54/238.03 = 107/x
  3. Step 3: Cross multiply
    172.54x = 238.03 × 107
  4. Step 4: Simplify right side
    172.54x = 25,469.21
  5. Step 5: Solve for x
    x = 25,469.21/172.54
  6. Step 6: Final answer
    x = 147.61

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