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Finding the Fourth Proportional to 168.47, 252.80 and 103.56

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Solution

The fourth proportional to 168.47, 252.80 and 103.56 is: 155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.47 : 252.80 = 103.56 : x
  2. Step 2: Convert to fraction form
    168.47/252.80 = 103.56/x
  3. Step 3: Cross multiply
    168.47x = 252.80 × 103.56
  4. Step 4: Simplify right side
    168.47x = 26,179.97
  5. Step 5: Solve for x
    x = 26,179.97/168.47
  6. Step 6: Final answer
    x = 155.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.