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Finding the Fourth Proportional to 168.63, 232.61 and 102.21

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Solution

The fourth proportional to 168.63, 232.61 and 102.21 is: 140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.63 : 232.61 = 102.21 : x
  2. Step 2: Convert to fraction form
    168.63/232.61 = 102.21/x
  3. Step 3: Cross multiply
    168.63x = 232.61 × 102.21
  4. Step 4: Simplify right side
    168.63x = 23,774.56
  5. Step 5: Solve for x
    x = 23,774.56/168.63
  6. Step 6: Final answer
    x = 140.99

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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.