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Finding the Fourth Proportional to 169.66, 234.18 and 111.46

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Solution

The fourth proportional to 169.66, 234.18 and 111.46 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.66 : 234.18 = 111.46 : x
  2. Step 2: Convert to fraction form
    169.66/234.18 = 111.46/x
  3. Step 3: Cross multiply
    169.66x = 234.18 × 111.46
  4. Step 4: Simplify right side
    169.66x = 26,101.70
  5. Step 5: Solve for x
    x = 26,101.70/169.66
  6. Step 6: Final answer
    x = 153.85

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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.