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Finding the Fourth Proportional to 79.50, 109.04 and 69.78

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Solution

The fourth proportional to 79.50, 109.04 and 69.78 is: 95.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.50 : 109.04 = 69.78 : x
  2. Step 2: Convert to fraction form
    79.50/109.04 = 69.78/x
  3. Step 3: Cross multiply
    79.50x = 109.04 × 69.78
  4. Step 4: Simplify right side
    79.50x = 7,608.81
  5. Step 5: Solve for x
    x = 7,608.81/79.50
  6. Step 6: Final answer
    x = 95.71

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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.