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Finding the Fourth Proportional to 100.14, 137.97 and 67.29

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Solution

The fourth proportional to 100.14, 137.97 and 67.29 is: 92.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 137.97 = 67.29 : x
  2. Step 2: Convert to fraction form
    100.14/137.97 = 67.29/x
  3. Step 3: Cross multiply
    100.14x = 137.97 × 67.29
  4. Step 4: Simplify right side
    100.14x = 9,284.00
  5. Step 5: Solve for x
    x = 9,284.00/100.14
  6. Step 6: Final answer
    x = 92.71

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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.