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Finding the Fourth Proportional to 68.40, 94.36 and 47.39

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Solution

The fourth proportional to 68.40, 94.36 and 47.39 is: 65.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 94.36 = 47.39 : x
  2. Step 2: Convert to fraction form
    68.40/94.36 = 47.39/x
  3. Step 3: Cross multiply
    68.40x = 94.36 × 47.39
  4. Step 4: Simplify right side
    68.40x = 4,471.48
  5. Step 5: Solve for x
    x = 4,471.48/68.40
  6. Step 6: Final answer
    x = 65.38

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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.