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Finding the Fourth Proportional to 78.22, 107.84 and 75.70

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Solution

The fourth proportional to 78.22, 107.84 and 75.70 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.22 : 107.84 = 75.70 : x
  2. Step 2: Convert to fraction form
    78.22/107.84 = 75.70/x
  3. Step 3: Cross multiply
    78.22x = 107.84 × 75.70
  4. Step 4: Simplify right side
    78.22x = 8,163.49
  5. Step 5: Solve for x
    x = 8,163.49/78.22
  6. Step 6: Final answer
    x = 104.37

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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.