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Finding the Fourth Proportional to 140.69, 194.07 and 84.64

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Solution

The fourth proportional to 140.69, 194.07 and 84.64 is: 116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.69 : 194.07 = 84.64 : x
  2. Step 2: Convert to fraction form
    140.69/194.07 = 84.64/x
  3. Step 3: Cross multiply
    140.69x = 194.07 × 84.64
  4. Step 4: Simplify right side
    140.69x = 16,425.80
  5. Step 5: Solve for x
    x = 16,425.80/140.69
  6. Step 6: Final answer
    x = 116.75

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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.