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Finding the Fourth Proportional to 113.88, 169.38 and 110.46

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Solution

The fourth proportional to 113.88, 169.38 and 110.46 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.88 : 169.38 = 110.46 : x
  2. Step 2: Convert to fraction form
    113.88/169.38 = 110.46/x
  3. Step 3: Cross multiply
    113.88x = 169.38 × 110.46
  4. Step 4: Simplify right side
    113.88x = 18,709.71
  5. Step 5: Solve for x
    x = 18,709.71/113.88
  6. Step 6: Final answer
    x = 164.29

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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.