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Finding the Fourth Proportional to 76.82, 105.72 and 73.76

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Solution

The fourth proportional to 76.82, 105.72 and 73.76 is: 101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 105.72 = 73.76 : x
  2. Step 2: Convert to fraction form
    76.82/105.72 = 73.76/x
  3. Step 3: Cross multiply
    76.82x = 105.72 × 73.76
  4. Step 4: Simplify right side
    76.82x = 7,797.91
  5. Step 5: Solve for x
    x = 7,797.91/76.82
  6. Step 6: Final answer
    x = 101.51

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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.