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Finding the Fourth Proportional to 140.86, 194.14 and 99.17

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Solution

The fourth proportional to 140.86, 194.14 and 99.17 is: 136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.86 : 194.14 = 99.17 : x
  2. Step 2: Convert to fraction form
    140.86/194.14 = 99.17/x
  3. Step 3: Cross multiply
    140.86x = 194.14 × 99.17
  4. Step 4: Simplify right side
    140.86x = 19,252.86
  5. Step 5: Solve for x
    x = 19,252.86/140.86
  6. Step 6: Final answer
    x = 136.68

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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.