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Finding the Fourth Proportional to 78.23, 107.26 and 77.22

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Solution

The fourth proportional to 78.23, 107.26 and 77.22 is: 105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 107.26 = 77.22 : x
  2. Step 2: Convert to fraction form
    78.23/107.26 = 77.22/x
  3. Step 3: Cross multiply
    78.23x = 107.26 × 77.22
  4. Step 4: Simplify right side
    78.23x = 8,282.42
  5. Step 5: Solve for x
    x = 8,282.42/78.23
  6. Step 6: Final answer
    x = 105.87

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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.