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Finding the Fourth Proportional to 79.82, 110.22 and 52.19

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Solution

The fourth proportional to 79.82, 110.22 and 52.19 is: 72.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.82 : 110.22 = 52.19 : x
  2. Step 2: Convert to fraction form
    79.82/110.22 = 52.19/x
  3. Step 3: Cross multiply
    79.82x = 110.22 × 52.19
  4. Step 4: Simplify right side
    79.82x = 5,752.66
  5. Step 5: Solve for x
    x = 5,752.66/79.82
  6. Step 6: Final answer
    x = 72.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.