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Finding the Fourth Proportional to 51.26, 76.39 and 48.50

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Solution

The fourth proportional to 51.26, 76.39 and 48.50 is: 72.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 76.39 = 48.50 : x
  2. Step 2: Convert to fraction form
    51.26/76.39 = 48.50/x
  3. Step 3: Cross multiply
    51.26x = 76.39 × 48.50
  4. Step 4: Simplify right side
    51.26x = 3,704.92
  5. Step 5: Solve for x
    x = 3,704.92/51.26
  6. Step 6: Final answer
    x = 72.28

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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.