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Finding the Fourth Proportional to 140.93, 194.36 and 111.77

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Solution

The fourth proportional to 140.93, 194.36 and 111.77 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.93 : 194.36 = 111.77 : x
  2. Step 2: Convert to fraction form
    140.93/194.36 = 111.77/x
  3. Step 3: Cross multiply
    140.93x = 194.36 × 111.77
  4. Step 4: Simplify right side
    140.93x = 21,723.62
  5. Step 5: Solve for x
    x = 21,723.62/140.93
  6. Step 6: Final answer
    x = 154.14

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Why These Related Problems?

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