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Finding the Fourth Proportional to 113.19, 170.79 and 108.97

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Solution

The fourth proportional to 113.19, 170.79 and 108.97 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.19 : 170.79 = 108.97 : x
  2. Step 2: Convert to fraction form
    113.19/170.79 = 108.97/x
  3. Step 3: Cross multiply
    113.19x = 170.79 × 108.97
  4. Step 4: Simplify right side
    113.19x = 18,610.99
  5. Step 5: Solve for x
    x = 18,610.99/113.19
  6. Step 6: Final answer
    x = 164.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.