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Finding the Fourth Proportional to 76.68, 106.38 and 74.88

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Solution

The fourth proportional to 76.68, 106.38 and 74.88 is: 103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 106.38 = 74.88 : x
  2. Step 2: Convert to fraction form
    76.68/106.38 = 74.88/x
  3. Step 3: Cross multiply
    76.68x = 106.38 × 74.88
  4. Step 4: Simplify right side
    76.68x = 7,965.73
  5. Step 5: Solve for x
    x = 7,965.73/76.68
  6. Step 6: Final answer
    x = 103.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.