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Finding the Fourth Proportional to 51.91, 78.14 and 38.49

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Solution

The fourth proportional to 51.91, 78.14 and 38.49 is: 57.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.91 : 78.14 = 38.49 : x
  2. Step 2: Convert to fraction form
    51.91/78.14 = 38.49/x
  3. Step 3: Cross multiply
    51.91x = 78.14 × 38.49
  4. Step 4: Simplify right side
    51.91x = 3,007.41
  5. Step 5: Solve for x
    x = 3,007.41/51.91
  6. Step 6: Final answer
    x = 57.94

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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.