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Finding the Fourth Proportional to 51.86, 70.67 and 50.75

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Solution

The fourth proportional to 51.86, 70.67 and 50.75 is: 69.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.86 : 70.67 = 50.75 : x
  2. Step 2: Convert to fraction form
    51.86/70.67 = 50.75/x
  3. Step 3: Cross multiply
    51.86x = 70.67 × 50.75
  4. Step 4: Simplify right side
    51.86x = 3,586.43
  5. Step 5: Solve for x
    x = 3,586.43/51.86
  6. Step 6: Final answer
    x = 69.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.