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Finding the Fourth Proportional to 51.97, 78.06 and 38.41

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Solution

The fourth proportional to 51.97, 78.06 and 38.41 is: 57.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.97 : 78.06 = 38.41 : x
  2. Step 2: Convert to fraction form
    51.97/78.06 = 38.41/x
  3. Step 3: Cross multiply
    51.97x = 78.06 × 38.41
  4. Step 4: Simplify right side
    51.97x = 2,998.28
  5. Step 5: Solve for x
    x = 2,998.28/51.97
  6. Step 6: Final answer
    x = 57.69

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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.