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Finding the Fourth Proportional to 113.80, 169.43 and 110.56

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Solution

The fourth proportional to 113.80, 169.43 and 110.56 is: 164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 169.43 = 110.56 : x
  2. Step 2: Convert to fraction form
    113.80/169.43 = 110.56/x
  3. Step 3: Cross multiply
    113.80x = 169.43 × 110.56
  4. Step 4: Simplify right side
    113.80x = 18,732.18
  5. Step 5: Solve for x
    x = 18,732.18/113.80
  6. Step 6: Final answer
    x = 164.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.