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Finding the Fourth Proportional to 51.25, 77.27 and 47.41

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Solution

The fourth proportional to 51.25, 77.27 and 47.41 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.25 : 77.27 = 47.41 : x
  2. Step 2: Convert to fraction form
    51.25/77.27 = 47.41/x
  3. Step 3: Cross multiply
    51.25x = 77.27 × 47.41
  4. Step 4: Simplify right side
    51.25x = 3,663.37
  5. Step 5: Solve for x
    x = 3,663.37/51.25
  6. Step 6: Final answer
    x = 71.48

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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.