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Finding the Fourth Proportional to 172.54, 238.01 and 125.86

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Solution

The fourth proportional to 172.54, 238.01 and 125.86 is: 173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.54 : 238.01 = 125.86 : x
  2. Step 2: Convert to fraction form
    172.54/238.01 = 125.86/x
  3. Step 3: Cross multiply
    172.54x = 238.01 × 125.86
  4. Step 4: Simplify right side
    172.54x = 29,954.83
  5. Step 5: Solve for x
    x = 29,954.83/172.54
  6. Step 6: Final answer
    x = 173.61

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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.