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Finding the Fourth Proportional to 79.82, 119.69 and 28.45

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Solution

The fourth proportional to 79.82, 119.69 and 28.45 is: 42.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.82 : 119.69 = 28.45 : x
  2. Step 2: Convert to fraction form
    79.82/119.69 = 28.45/x
  3. Step 3: Cross multiply
    79.82x = 119.69 × 28.45
  4. Step 4: Simplify right side
    79.82x = 3,405.18
  5. Step 5: Solve for x
    x = 3,405.18/79.82
  6. Step 6: Final answer
    x = 42.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.