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Finding the Fourth Proportional to 110.22, 152.22 and 82.59

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Solution

The fourth proportional to 110.22, 152.22 and 82.59 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.22 : 152.22 = 82.59 : x
  2. Step 2: Convert to fraction form
    110.22/152.22 = 82.59/x
  3. Step 3: Cross multiply
    110.22x = 152.22 × 82.59
  4. Step 4: Simplify right side
    110.22x = 12,571.85
  5. Step 5: Solve for x
    x = 12,571.85/110.22
  6. Step 6: Final answer
    x = 114.06

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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.