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Finding the Fourth Proportional to 78.78, 108.67 and 49.27

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Solution

The fourth proportional to 78.78, 108.67 and 49.27 is: 67.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.78 : 108.67 = 49.27 : x
  2. Step 2: Convert to fraction form
    78.78/108.67 = 49.27/x
  3. Step 3: Cross multiply
    78.78x = 108.67 × 49.27
  4. Step 4: Simplify right side
    78.78x = 5,354.17
  5. Step 5: Solve for x
    x = 5,354.17/78.78
  6. Step 6: Final answer
    x = 67.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.