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Finding the Fourth Proportional to 79.64, 110.39 and 75.68

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Solution

The fourth proportional to 79.64, 110.39 and 75.68 is: 104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.64 : 110.39 = 75.68 : x
  2. Step 2: Convert to fraction form
    79.64/110.39 = 75.68/x
  3. Step 3: Cross multiply
    79.64x = 110.39 × 75.68
  4. Step 4: Simplify right side
    79.64x = 8,354.32
  5. Step 5: Solve for x
    x = 8,354.32/79.64
  6. Step 6: Final answer
    x = 104.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.