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Finding the Fourth Proportional to 113.82, 170.69 and 44.42

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Solution

The fourth proportional to 113.82, 170.69 and 44.42 is: 66.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 170.69 = 44.42 : x
  2. Step 2: Convert to fraction form
    113.82/170.69 = 44.42/x
  3. Step 3: Cross multiply
    113.82x = 170.69 × 44.42
  4. Step 4: Simplify right side
    113.82x = 7,580.97
  5. Step 5: Solve for x
    x = 7,580.97/113.82
  6. Step 6: Final answer
    x = 66.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.