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Finding the Fourth Proportional to 78.26, 107.96 and 52.04

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Solution

The fourth proportional to 78.26, 107.96 and 52.04 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 107.96 = 52.04 : x
  2. Step 2: Convert to fraction form
    78.26/107.96 = 52.04/x
  3. Step 3: Cross multiply
    78.26x = 107.96 × 52.04
  4. Step 4: Simplify right side
    78.26x = 5,617.44
  5. Step 5: Solve for x
    x = 5,617.44/78.26
  6. Step 6: Final answer
    x = 71.78

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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.