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Finding the Fourth Proportional to 103.97, 142.82 and 100.90

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Solution

The fourth proportional to 103.97, 142.82 and 100.90 is: 138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 142.82 = 100.90 : x
  2. Step 2: Convert to fraction form
    103.97/142.82 = 100.90/x
  3. Step 3: Cross multiply
    103.97x = 142.82 × 100.90
  4. Step 4: Simplify right side
    103.97x = 14,409.54
  5. Step 5: Solve for x
    x = 14,409.54/103.97
  6. Step 6: Final answer
    x = 138.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.