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Finding the Fourth Proportional to 68.89, 102.77 and 67.29

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Solution

The fourth proportional to 68.89, 102.77 and 67.29 is: 100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.89 : 102.77 = 67.29 : x
  2. Step 2: Convert to fraction form
    68.89/102.77 = 67.29/x
  3. Step 3: Cross multiply
    68.89x = 102.77 × 67.29
  4. Step 4: Simplify right side
    68.89x = 6,915.56
  5. Step 5: Solve for x
    x = 6,915.56/68.89
  6. Step 6: Final answer
    x = 100.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.