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Finding the Fourth Proportional to 169.63, 234.13 and 111.49

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Solution

The fourth proportional to 169.63, 234.13 and 111.49 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.63 : 234.13 = 111.49 : x
  2. Step 2: Convert to fraction form
    169.63/234.13 = 111.49/x
  3. Step 3: Cross multiply
    169.63x = 234.13 × 111.49
  4. Step 4: Simplify right side
    169.63x = 26,101.70
  5. Step 5: Solve for x
    x = 26,101.70/169.63
  6. Step 6: Final answer
    x = 153.88

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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.