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Finding the Fourth Proportional to 78.92, 108.25 and 75.50

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Solution

The fourth proportional to 78.92, 108.25 and 75.50 is: 103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.92 : 108.25 = 75.50 : x
  2. Step 2: Convert to fraction form
    78.92/108.25 = 75.50/x
  3. Step 3: Cross multiply
    78.92x = 108.25 × 75.50
  4. Step 4: Simplify right side
    78.92x = 8,172.88
  5. Step 5: Solve for x
    x = 8,172.88/78.92
  6. Step 6: Final answer
    x = 103.56

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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.