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Finding the Fourth Proportional to 140.77, 194.43 and 105.95

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Solution

The fourth proportional to 140.77, 194.43 and 105.95 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.77 : 194.43 = 105.95 : x
  2. Step 2: Convert to fraction form
    140.77/194.43 = 105.95/x
  3. Step 3: Cross multiply
    140.77x = 194.43 × 105.95
  4. Step 4: Simplify right side
    140.77x = 20,599.33
  5. Step 5: Solve for x
    x = 20,599.33/140.77
  6. Step 6: Final answer
    x = 146.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.