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Finding the Fourth Proportional to 67.05, 92.45 and 59.68

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Solution

The fourth proportional to 67.05, 92.45 and 59.68 is: 82.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.05 : 92.45 = 59.68 : x
  2. Step 2: Convert to fraction form
    67.05/92.45 = 59.68/x
  3. Step 3: Cross multiply
    67.05x = 92.45 × 59.68
  4. Step 4: Simplify right side
    67.05x = 5,516.95
  5. Step 5: Solve for x
    x = 5,516.95/67.05
  6. Step 6: Final answer
    x = 82.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.