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Finding the Fourth Proportional to 51.90, 77.86 and 19.86

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Solution

The fourth proportional to 51.90, 77.86 and 19.86 is: 29.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 77.86 = 19.86 : x
  2. Step 2: Convert to fraction form
    51.90/77.86 = 19.86/x
  3. Step 3: Cross multiply
    51.90x = 77.86 × 19.86
  4. Step 4: Simplify right side
    51.90x = 1,546.30
  5. Step 5: Solve for x
    x = 1,546.30/51.90
  6. Step 6: Final answer
    x = 29.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.