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Finding the Fourth Proportional to 168.26, 252.39 and 70.77

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Solution

The fourth proportional to 168.26, 252.39 and 70.77 is: 106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.26 : 252.39 = 70.77 : x
  2. Step 2: Convert to fraction form
    168.26/252.39 = 70.77/x
  3. Step 3: Cross multiply
    168.26x = 252.39 × 70.77
  4. Step 4: Simplify right side
    168.26x = 17,861.64
  5. Step 5: Solve for x
    x = 17,861.64/168.26
  6. Step 6: Final answer
    x = 106.16

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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.