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Finding the Fourth Proportional to 140.61, 194.09 and 136.05

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Solution

The fourth proportional to 140.61, 194.09 and 136.05 is: 187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.61 : 194.09 = 136.05 : x
  2. Step 2: Convert to fraction form
    140.61/194.09 = 136.05/x
  3. Step 3: Cross multiply
    140.61x = 194.09 × 136.05
  4. Step 4: Simplify right side
    140.61x = 26,405.26
  5. Step 5: Solve for x
    x = 26,405.26/140.61
  6. Step 6: Final answer
    x = 187.79

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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.