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Finding the Fourth Proportional to 51.26, 70.78 and 50.96

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Solution

The fourth proportional to 51.26, 70.78 and 50.96 is: 70.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 70.78 = 50.96 : x
  2. Step 2: Convert to fraction form
    51.26/70.78 = 50.96/x
  3. Step 3: Cross multiply
    51.26x = 70.78 × 50.96
  4. Step 4: Simplify right side
    51.26x = 3,606.95
  5. Step 5: Solve for x
    x = 3,606.95/51.26
  6. Step 6: Final answer
    x = 70.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.