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Finding the Fourth Proportional to 78.86, 108.81 and 47.78

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Solution

The fourth proportional to 78.86, 108.81 and 47.78 is: 65.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.86 : 108.81 = 47.78 : x
  2. Step 2: Convert to fraction form
    78.86/108.81 = 47.78/x
  3. Step 3: Cross multiply
    78.86x = 108.81 × 47.78
  4. Step 4: Simplify right side
    78.86x = 5,198.94
  5. Step 5: Solve for x
    x = 5,198.94/78.86
  6. Step 6: Final answer
    x = 65.93

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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.