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Finding the Fourth Proportional to 51.18, 77.25 and 50.64

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Solution

The fourth proportional to 51.18, 77.25 and 50.64 is: 76.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.18 : 77.25 = 50.64 : x
  2. Step 2: Convert to fraction form
    51.18/77.25 = 50.64/x
  3. Step 3: Cross multiply
    51.18x = 77.25 × 50.64
  4. Step 4: Simplify right side
    51.18x = 3,911.94
  5. Step 5: Solve for x
    x = 3,911.94/51.18
  6. Step 6: Final answer
    x = 76.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.