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Finding the Fourth Proportional to 76.72, 105.83 and 47.56

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Solution

The fourth proportional to 76.72, 105.83 and 47.56 is: 65.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.83 = 47.56 : x
  2. Step 2: Convert to fraction form
    76.72/105.83 = 47.56/x
  3. Step 3: Cross multiply
    76.72x = 105.83 × 47.56
  4. Step 4: Simplify right side
    76.72x = 5,033.27
  5. Step 5: Solve for x
    x = 5,033.27/76.72
  6. Step 6: Final answer
    x = 65.61

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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.