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Finding the Fourth Proportional to 169.60, 233.97 and 122.89

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Solution

The fourth proportional to 169.60, 233.97 and 122.89 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.60 : 233.97 = 122.89 : x
  2. Step 2: Convert to fraction form
    169.60/233.97 = 122.89/x
  3. Step 3: Cross multiply
    169.60x = 233.97 × 122.89
  4. Step 4: Simplify right side
    169.60x = 28,752.57
  5. Step 5: Solve for x
    x = 28,752.57/169.60
  6. Step 6: Final answer
    x = 169.53

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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.