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Finding the Fourth Proportional to 78.85, 108.82 and 47.76

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Solution

The fourth proportional to 78.85, 108.82 and 47.76 is: 65.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.85 : 108.82 = 47.76 : x
  2. Step 2: Convert to fraction form
    78.85/108.82 = 47.76/x
  3. Step 3: Cross multiply
    78.85x = 108.82 × 47.76
  4. Step 4: Simplify right side
    78.85x = 5,197.62
  5. Step 5: Solve for x
    x = 5,197.62/78.85
  6. Step 6: Final answer
    x = 65.92

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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.