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Finding the Fourth Proportional to 169.82, 234.42 and 110.83

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Solution

The fourth proportional to 169.82, 234.42 and 110.83 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.82 : 234.42 = 110.83 : x
  2. Step 2: Convert to fraction form
    169.82/234.42 = 110.83/x
  3. Step 3: Cross multiply
    169.82x = 234.42 × 110.83
  4. Step 4: Simplify right side
    169.82x = 25,980.77
  5. Step 5: Solve for x
    x = 25,980.77/169.82
  6. Step 6: Final answer
    x = 152.99

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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.