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Finding the Fourth Proportional to 51.54, 76.84 and 44.25

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Solution

The fourth proportional to 51.54, 76.84 and 44.25 is: 65.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.54 : 76.84 = 44.25 : x
  2. Step 2: Convert to fraction form
    51.54/76.84 = 44.25/x
  3. Step 3: Cross multiply
    51.54x = 76.84 × 44.25
  4. Step 4: Simplify right side
    51.54x = 3,400.17
  5. Step 5: Solve for x
    x = 3,400.17/51.54
  6. Step 6: Final answer
    x = 65.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.