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Finding the Fourth Proportional to 103.22, 142.39 and 78.65

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Solution

The fourth proportional to 103.22, 142.39 and 78.65 is: 108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.22 : 142.39 = 78.65 : x
  2. Step 2: Convert to fraction form
    103.22/142.39 = 78.65/x
  3. Step 3: Cross multiply
    103.22x = 142.39 × 78.65
  4. Step 4: Simplify right side
    103.22x = 11,198.89
  5. Step 5: Solve for x
    x = 11,198.89/103.22
  6. Step 6: Final answer
    x = 108.50

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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.