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Finding the Fourth Proportional to 82, 112.49 and 79.70

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Solution

The fourth proportional to 82, 112.49 and 79.70 is: 109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 112.49 = 79.70 : x
  2. Step 2: Convert to fraction form
    82/112.49 = 79.70/x
  3. Step 3: Cross multiply
    82x = 112.49 × 79.70
  4. Step 4: Simplify right side
    82x = 8,965.45
  5. Step 5: Solve for x
    x = 8,965.45/82
  6. Step 6: Final answer
    x = 109.33

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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.