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Finding the Fourth Proportional to 79.40, 108.79 and 77.18

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Solution

The fourth proportional to 79.40, 108.79 and 77.18 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.40 : 108.79 = 77.18 : x
  2. Step 2: Convert to fraction form
    79.40/108.79 = 77.18/x
  3. Step 3: Cross multiply
    79.40x = 108.79 × 77.18
  4. Step 4: Simplify right side
    79.40x = 8,395.68
  5. Step 5: Solve for x
    x = 8,395.68/79.40
  6. Step 6: Final answer
    x = 105.74

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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.