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Finding the Fourth Proportional to 68.20, 94.09 and 42.34

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Solution

The fourth proportional to 68.20, 94.09 and 42.34 is: 58.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.20 : 94.09 = 42.34 : x
  2. Step 2: Convert to fraction form
    68.20/94.09 = 42.34/x
  3. Step 3: Cross multiply
    68.20x = 94.09 × 42.34
  4. Step 4: Simplify right side
    68.20x = 3,983.09
  5. Step 5: Solve for x
    x = 3,983.09/68.20
  6. Step 6: Final answer
    x = 58.41

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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.