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Finding the Fourth Proportional to 68.25, 102.21 and 43.79

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Solution

The fourth proportional to 68.25, 102.21 and 43.79 is: 65.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 102.21 = 43.79 : x
  2. Step 2: Convert to fraction form
    68.25/102.21 = 43.79/x
  3. Step 3: Cross multiply
    68.25x = 102.21 × 43.79
  4. Step 4: Simplify right side
    68.25x = 4,475.96
  5. Step 5: Solve for x
    x = 4,475.96/68.25
  6. Step 6: Final answer
    x = 65.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.