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Finding the Fourth Proportional to 68.24, 94.11 and 47.50

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Solution

The fourth proportional to 68.24, 94.11 and 47.50 is: 65.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.24 : 94.11 = 47.50 : x
  2. Step 2: Convert to fraction form
    68.24/94.11 = 47.50/x
  3. Step 3: Cross multiply
    68.24x = 94.11 × 47.50
  4. Step 4: Simplify right side
    68.24x = 4,469.81
  5. Step 5: Solve for x
    x = 4,469.81/68.24
  6. Step 6: Final answer
    x = 65.50

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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.