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Finding the Fourth Proportional to 172.86, 238.54 and 106.46

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Solution

The fourth proportional to 172.86, 238.54 and 106.46 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 238.54 = 106.46 : x
  2. Step 2: Convert to fraction form
    172.86/238.54 = 106.46/x
  3. Step 3: Cross multiply
    172.86x = 238.54 × 106.46
  4. Step 4: Simplify right side
    172.86x = 25,394.97
  5. Step 5: Solve for x
    x = 25,394.97/172.86
  6. Step 6: Final answer
    x = 146.91

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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.