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Finding the Fourth Proportional to 68.89, 103.21 and 61.47

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Solution

The fourth proportional to 68.89, 103.21 and 61.47 is: 92.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.89 : 103.21 = 61.47 : x
  2. Step 2: Convert to fraction form
    68.89/103.21 = 61.47/x
  3. Step 3: Cross multiply
    68.89x = 103.21 × 61.47
  4. Step 4: Simplify right side
    68.89x = 6,344.32
  5. Step 5: Solve for x
    x = 6,344.32/68.89
  6. Step 6: Final answer
    x = 92.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.