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Finding the Fourth Proportional to 168.19, 252.28 and 46.45

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Solution

The fourth proportional to 168.19, 252.28 and 46.45 is: 69.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.19 : 252.28 = 46.45 : x
  2. Step 2: Convert to fraction form
    168.19/252.28 = 46.45/x
  3. Step 3: Cross multiply
    168.19x = 252.28 × 46.45
  4. Step 4: Simplify right side
    168.19x = 11,718.78
  5. Step 5: Solve for x
    x = 11,718.78/168.19
  6. Step 6: Final answer
    x = 69.68

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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.