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Finding the Fourth Proportional to 63.08, 94.77 and 51.81

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Solution

The fourth proportional to 63.08, 94.77 and 51.81 is: 77.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.08 : 94.77 = 51.81 : x
  2. Step 2: Convert to fraction form
    63.08/94.77 = 51.81/x
  3. Step 3: Cross multiply
    63.08x = 94.77 × 51.81
  4. Step 4: Simplify right side
    63.08x = 4,910.03
  5. Step 5: Solve for x
    x = 4,910.03/63.08
  6. Step 6: Final answer
    x = 77.84

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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.