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Finding the Fourth Proportional to 68.21, 94.12 and 38.71

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Solution

The fourth proportional to 68.21, 94.12 and 38.71 is: 53.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.21 : 94.12 = 38.71 : x
  2. Step 2: Convert to fraction form
    68.21/94.12 = 38.71/x
  3. Step 3: Cross multiply
    68.21x = 94.12 × 38.71
  4. Step 4: Simplify right side
    68.21x = 3,643.05
  5. Step 5: Solve for x
    x = 3,643.05/68.21
  6. Step 6: Final answer
    x = 53.41

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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.