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Finding the Fourth Proportional to 169.26, 233.19 and 120.06

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Solution

The fourth proportional to 169.26, 233.19 and 120.06 is: 165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 233.19 = 120.06 : x
  2. Step 2: Convert to fraction form
    169.26/233.19 = 120.06/x
  3. Step 3: Cross multiply
    169.26x = 233.19 × 120.06
  4. Step 4: Simplify right side
    169.26x = 27,996.79
  5. Step 5: Solve for x
    x = 27,996.79/169.26
  6. Step 6: Final answer
    x = 165.41

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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.