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Finding the Fourth Proportional to 168.85, 253.27 and 77.52

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Solution

The fourth proportional to 168.85, 253.27 and 77.52 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.85 : 253.27 = 77.52 : x
  2. Step 2: Convert to fraction form
    168.85/253.27 = 77.52/x
  3. Step 3: Cross multiply
    168.85x = 253.27 × 77.52
  4. Step 4: Simplify right side
    168.85x = 19,633.49
  5. Step 5: Solve for x
    x = 19,633.49/168.85
  6. Step 6: Final answer
    x = 116.28

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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.