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Finding the Fourth Proportional to 113.82, 169.48 and 109.14

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Solution

The fourth proportional to 113.82, 169.48 and 109.14 is: 162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 169.48 = 109.14 : x
  2. Step 2: Convert to fraction form
    113.82/169.48 = 109.14/x
  3. Step 3: Cross multiply
    113.82x = 169.48 × 109.14
  4. Step 4: Simplify right side
    113.82x = 18,497.05
  5. Step 5: Solve for x
    x = 18,497.05/113.82
  6. Step 6: Final answer
    x = 162.51

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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.