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Finding the Fourth Proportional to 78.29, 107.97 and 49.19

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Solution

The fourth proportional to 78.29, 107.97 and 49.19 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.29 : 107.97 = 49.19 : x
  2. Step 2: Convert to fraction form
    78.29/107.97 = 49.19/x
  3. Step 3: Cross multiply
    78.29x = 107.97 × 49.19
  4. Step 4: Simplify right side
    78.29x = 5,310.50
  5. Step 5: Solve for x
    x = 5,310.50/78.29
  6. Step 6: Final answer
    x = 67.84

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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.