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Finding the Fourth Proportional to 76.82, 105.96 and 47.72

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Solution

The fourth proportional to 76.82, 105.96 and 47.72 is: 65.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 105.96 = 47.72 : x
  2. Step 2: Convert to fraction form
    76.82/105.96 = 47.72/x
  3. Step 3: Cross multiply
    76.82x = 105.96 × 47.72
  4. Step 4: Simplify right side
    76.82x = 5,056.41
  5. Step 5: Solve for x
    x = 5,056.41/76.82
  6. Step 6: Final answer
    x = 65.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.