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Finding the Fourth Proportional to 80.68, 110.70 and 78.26

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Solution

The fourth proportional to 80.68, 110.70 and 78.26 is: 107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.68 : 110.70 = 78.26 : x
  2. Step 2: Convert to fraction form
    80.68/110.70 = 78.26/x
  3. Step 3: Cross multiply
    80.68x = 110.70 × 78.26
  4. Step 4: Simplify right side
    80.68x = 8,663.38
  5. Step 5: Solve for x
    x = 8,663.38/80.68
  6. Step 6: Final answer
    x = 107.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.