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Finding the Fourth Proportional to 51.50, 76.82 and 48.13

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Solution

The fourth proportional to 51.50, 76.82 and 48.13 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 76.82 = 48.13 : x
  2. Step 2: Convert to fraction form
    51.50/76.82 = 48.13/x
  3. Step 3: Cross multiply
    51.50x = 76.82 × 48.13
  4. Step 4: Simplify right side
    51.50x = 3,696.91
  5. Step 5: Solve for x
    x = 3,696.91/51.50
  6. Step 6: Final answer
    x = 71.78

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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.