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Finding the Fourth Proportional to 51.24, 76.92 and 51.05

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Solution

The fourth proportional to 51.24, 76.92 and 51.05 is: 76.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.24 : 76.92 = 51.05 : x
  2. Step 2: Convert to fraction form
    51.24/76.92 = 51.05/x
  3. Step 3: Cross multiply
    51.24x = 76.92 × 51.05
  4. Step 4: Simplify right side
    51.24x = 3,927.05
  5. Step 5: Solve for x
    x = 3,927.05/51.24
  6. Step 6: Final answer
    x = 76.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.