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Finding the Fourth Proportional to 79.88, 110.18 and 52.24

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Solution

The fourth proportional to 79.88, 110.18 and 52.24 is: 72.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.88 : 110.18 = 52.24 : x
  2. Step 2: Convert to fraction form
    79.88/110.18 = 52.24/x
  3. Step 3: Cross multiply
    79.88x = 110.18 × 52.24
  4. Step 4: Simplify right side
    79.88x = 5,755.66
  5. Step 5: Solve for x
    x = 5,755.66/79.88
  6. Step 6: Final answer
    x = 72.06

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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.