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Finding the Fourth Proportional to 98.35, 135.68 and 68.84

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Solution

The fourth proportional to 98.35, 135.68 and 68.84 is: 94.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.35 : 135.68 = 68.84 : x
  2. Step 2: Convert to fraction form
    98.35/135.68 = 68.84/x
  3. Step 3: Cross multiply
    98.35x = 135.68 × 68.84
  4. Step 4: Simplify right side
    98.35x = 9,340.38
  5. Step 5: Solve for x
    x = 9,340.38/98.35
  6. Step 6: Final answer
    x = 94.97

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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.