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Finding the Fourth Proportional to 140.91, 194.54 and 109.75

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Solution

The fourth proportional to 140.91, 194.54 and 109.75 is: 151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 194.54 = 109.75 : x
  2. Step 2: Convert to fraction form
    140.91/194.54 = 109.75/x
  3. Step 3: Cross multiply
    140.91x = 194.54 × 109.75
  4. Step 4: Simplify right side
    140.91x = 21,350.77
  5. Step 5: Solve for x
    x = 21,350.77/140.91
  6. Step 6: Final answer
    x = 151.52

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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.