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Finding the Fourth Proportional to 79.26, 118.24 and 77.05

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Solution

The fourth proportional to 79.26, 118.24 and 77.05 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.26 : 118.24 = 77.05 : x
  2. Step 2: Convert to fraction form
    79.26/118.24 = 77.05/x
  3. Step 3: Cross multiply
    79.26x = 118.24 × 77.05
  4. Step 4: Simplify right side
    79.26x = 9,110.59
  5. Step 5: Solve for x
    x = 9,110.59/79.26
  6. Step 6: Final answer
    x = 114.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.