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Finding the Fourth Proportional to 100.27, 138.54 and 75.97

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Solution

The fourth proportional to 100.27, 138.54 and 75.97 is: 104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.27 : 138.54 = 75.97 : x
  2. Step 2: Convert to fraction form
    100.27/138.54 = 75.97/x
  3. Step 3: Cross multiply
    100.27x = 138.54 × 75.97
  4. Step 4: Simplify right side
    100.27x = 10,524.88
  5. Step 5: Solve for x
    x = 10,524.88/100.27
  6. Step 6: Final answer
    x = 104.97

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