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Finding the Fourth Proportional to 51.75, 77.52 and 45.25

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Solution

The fourth proportional to 51.75, 77.52 and 45.25 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 77.52 = 45.25 : x
  2. Step 2: Convert to fraction form
    51.75/77.52 = 45.25/x
  3. Step 3: Cross multiply
    51.75x = 77.52 × 45.25
  4. Step 4: Simplify right side
    51.75x = 3,507.78
  5. Step 5: Solve for x
    x = 3,507.78/51.75
  6. Step 6: Final answer
    x = 67.78

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Why These Related Problems?

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