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Finding the Fourth Proportional to 98.22, 135.72 and 81.84

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Solution

The fourth proportional to 98.22, 135.72 and 81.84 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.22 : 135.72 = 81.84 : x
  2. Step 2: Convert to fraction form
    98.22/135.72 = 81.84/x
  3. Step 3: Cross multiply
    98.22x = 135.72 × 81.84
  4. Step 4: Simplify right side
    98.22x = 11,107.32
  5. Step 5: Solve for x
    x = 11,107.32/98.22
  6. Step 6: Final answer
    x = 113.09

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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.