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Finding the Fourth Proportional to 169.30, 233.54 and 120.09

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Solution

The fourth proportional to 169.30, 233.54 and 120.09 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.30 : 233.54 = 120.09 : x
  2. Step 2: Convert to fraction form
    169.30/233.54 = 120.09/x
  3. Step 3: Cross multiply
    169.30x = 233.54 × 120.09
  4. Step 4: Simplify right side
    169.30x = 28,046.54
  5. Step 5: Solve for x
    x = 28,046.54/169.30
  6. Step 6: Final answer
    x = 165.66

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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.