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Finding the Fourth Proportional to 79.64, 109.31 and 75.56

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Solution

The fourth proportional to 79.64, 109.31 and 75.56 is: 103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.64 : 109.31 = 75.56 : x
  2. Step 2: Convert to fraction form
    79.64/109.31 = 75.56/x
  3. Step 3: Cross multiply
    79.64x = 109.31 × 75.56
  4. Step 4: Simplify right side
    79.64x = 8,259.46
  5. Step 5: Solve for x
    x = 8,259.46/79.64
  6. Step 6: Final answer
    x = 103.71

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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.