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Finding the Fourth Proportional to 68.43, 94.39 and 52.02

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Solution

The fourth proportional to 68.43, 94.39 and 52.02 is: 71.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.43 : 94.39 = 52.02 : x
  2. Step 2: Convert to fraction form
    68.43/94.39 = 52.02/x
  3. Step 3: Cross multiply
    68.43x = 94.39 × 52.02
  4. Step 4: Simplify right side
    68.43x = 4,910.17
  5. Step 5: Solve for x
    x = 4,910.17/68.43
  6. Step 6: Final answer
    x = 71.75

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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.