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Finding the Fourth Proportional to 76.72, 105.90 and 50.52

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Solution

The fourth proportional to 76.72, 105.90 and 50.52 is: 69.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.90 = 50.52 : x
  2. Step 2: Convert to fraction form
    76.72/105.90 = 50.52/x
  3. Step 3: Cross multiply
    76.72x = 105.90 × 50.52
  4. Step 4: Simplify right side
    76.72x = 5,350.07
  5. Step 5: Solve for x
    x = 5,350.07/76.72
  6. Step 6: Final answer
    x = 69.73

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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.