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Finding the Fourth Proportional to 67.46, 93.07 and 39.82

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Solution

The fourth proportional to 67.46, 93.07 and 39.82 is: 54.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.46 : 93.07 = 39.82 : x
  2. Step 2: Convert to fraction form
    67.46/93.07 = 39.82/x
  3. Step 3: Cross multiply
    67.46x = 93.07 × 39.82
  4. Step 4: Simplify right side
    67.46x = 3,706.05
  5. Step 5: Solve for x
    x = 3,706.05/67.46
  6. Step 6: Final answer
    x = 54.94

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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.