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Finding the Fourth Proportional to 51.46, 77.17 and 25.75

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Solution

The fourth proportional to 51.46, 77.17 and 25.75 is: 38.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.46 : 77.17 = 25.75 : x
  2. Step 2: Convert to fraction form
    51.46/77.17 = 25.75/x
  3. Step 3: Cross multiply
    51.46x = 77.17 × 25.75
  4. Step 4: Simplify right side
    51.46x = 1,987.13
  5. Step 5: Solve for x
    x = 1,987.13/51.46
  6. Step 6: Final answer
    x = 38.61

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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.