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Finding the Fourth Proportional to 169.44, 233.92 and 122.96

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Solution

The fourth proportional to 169.44, 233.92 and 122.96 is: 169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.44 : 233.92 = 122.96 : x
  2. Step 2: Convert to fraction form
    169.44/233.92 = 122.96/x
  3. Step 3: Cross multiply
    169.44x = 233.92 × 122.96
  4. Step 4: Simplify right side
    169.44x = 28,762.80
  5. Step 5: Solve for x
    x = 28,762.80/169.44
  6. Step 6: Final answer
    x = 169.75

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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.