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Finding the Fourth Proportional to 140.91, 194.57 and 91.77

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Solution

The fourth proportional to 140.91, 194.57 and 91.77 is: 126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 194.57 = 91.77 : x
  2. Step 2: Convert to fraction form
    140.91/194.57 = 91.77/x
  3. Step 3: Cross multiply
    140.91x = 194.57 × 91.77
  4. Step 4: Simplify right side
    140.91x = 17,855.69
  5. Step 5: Solve for x
    x = 17,855.69/140.91
  6. Step 6: Final answer
    x = 126.72

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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.