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Finding the Fourth Proportional to 78.82, 108.79 and 47.74

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Solution

The fourth proportional to 78.82, 108.79 and 47.74 is: 65.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 108.79 = 47.74 : x
  2. Step 2: Convert to fraction form
    78.82/108.79 = 47.74/x
  3. Step 3: Cross multiply
    78.82x = 108.79 × 47.74
  4. Step 4: Simplify right side
    78.82x = 5,193.72
  5. Step 5: Solve for x
    x = 5,193.72/78.82
  6. Step 6: Final answer
    x = 65.89

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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.