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Finding the Fourth Proportional to 68.29, 102.27 and 39.33

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Solution

The fourth proportional to 68.29, 102.27 and 39.33 is: 58.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.29 : 102.27 = 39.33 : x
  2. Step 2: Convert to fraction form
    68.29/102.27 = 39.33/x
  3. Step 3: Cross multiply
    68.29x = 102.27 × 39.33
  4. Step 4: Simplify right side
    68.29x = 4,022.28
  5. Step 5: Solve for x
    x = 4,022.28/68.29
  6. Step 6: Final answer
    x = 58.90

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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.