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Finding the Fourth Proportional to 103.14, 142.36 and 82.41

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Solution

The fourth proportional to 103.14, 142.36 and 82.41 is: 113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.14 : 142.36 = 82.41 : x
  2. Step 2: Convert to fraction form
    103.14/142.36 = 82.41/x
  3. Step 3: Cross multiply
    103.14x = 142.36 × 82.41
  4. Step 4: Simplify right side
    103.14x = 11,731.18
  5. Step 5: Solve for x
    x = 11,731.18/103.14
  6. Step 6: Final answer
    x = 113.75

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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.