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Finding the Fourth Proportional to 168.45, 232.46 and 102.94

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Solution

The fourth proportional to 168.45, 232.46 and 102.94 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.45 : 232.46 = 102.94 : x
  2. Step 2: Convert to fraction form
    168.45/232.46 = 102.94/x
  3. Step 3: Cross multiply
    168.45x = 232.46 × 102.94
  4. Step 4: Simplify right side
    168.45x = 23,929.43
  5. Step 5: Solve for x
    x = 23,929.43/168.45
  6. Step 6: Final answer
    x = 142.06

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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.