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Finding the Fourth Proportional to 169.24, 233.57 and 110.29

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Solution

The fourth proportional to 169.24, 233.57 and 110.29 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 233.57 = 110.29 : x
  2. Step 2: Convert to fraction form
    169.24/233.57 = 110.29/x
  3. Step 3: Cross multiply
    169.24x = 233.57 × 110.29
  4. Step 4: Simplify right side
    169.24x = 25,760.44
  5. Step 5: Solve for x
    x = 25,760.44/169.24
  6. Step 6: Final answer
    x = 152.21

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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.