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Finding the Fourth Proportional to 67.69, 92.89 and 61.54

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Solution

The fourth proportional to 67.69, 92.89 and 61.54 is: 84.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 92.89 = 61.54 : x
  2. Step 2: Convert to fraction form
    67.69/92.89 = 61.54/x
  3. Step 3: Cross multiply
    67.69x = 92.89 × 61.54
  4. Step 4: Simplify right side
    67.69x = 5,716.30
  5. Step 5: Solve for x
    x = 5,716.30/67.69
  6. Step 6: Final answer
    x = 84.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.