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Finding the Fourth Proportional to 71.86, 107.67 and 51.25

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Solution

The fourth proportional to 71.86, 107.67 and 51.25 is: 76.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.86 : 107.67 = 51.25 : x
  2. Step 2: Convert to fraction form
    71.86/107.67 = 51.25/x
  3. Step 3: Cross multiply
    71.86x = 107.67 × 51.25
  4. Step 4: Simplify right side
    71.86x = 5,518.09
  5. Step 5: Solve for x
    x = 5,518.09/71.86
  6. Step 6: Final answer
    x = 76.79

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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.