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Finding the Fourth Proportional to 103.07, 141.99 and 82.33

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Solution

The fourth proportional to 103.07, 141.99 and 82.33 is: 113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 141.99 = 82.33 : x
  2. Step 2: Convert to fraction form
    103.07/141.99 = 82.33/x
  3. Step 3: Cross multiply
    103.07x = 141.99 × 82.33
  4. Step 4: Simplify right side
    103.07x = 11,690.04
  5. Step 5: Solve for x
    x = 11,690.04/103.07
  6. Step 6: Final answer
    x = 113.42

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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.