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Finding the Fourth Proportional to 98.82, 136.22 and 67.68

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Solution

The fourth proportional to 98.82, 136.22 and 67.68 is: 93.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.82 : 136.22 = 67.68 : x
  2. Step 2: Convert to fraction form
    98.82/136.22 = 67.68/x
  3. Step 3: Cross multiply
    98.82x = 136.22 × 67.68
  4. Step 4: Simplify right side
    98.82x = 9,219.03
  5. Step 5: Solve for x
    x = 9,219.03/98.82
  6. Step 6: Final answer
    x = 93.29

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