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Finding the Fourth Proportional to 67.26, 92.85 and 46.57

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Solution

The fourth proportional to 67.26, 92.85 and 46.57 is: 64.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.26 : 92.85 = 46.57 : x
  2. Step 2: Convert to fraction form
    67.26/92.85 = 46.57/x
  3. Step 3: Cross multiply
    67.26x = 92.85 × 46.57
  4. Step 4: Simplify right side
    67.26x = 4,324.02
  5. Step 5: Solve for x
    x = 4,324.02/67.26
  6. Step 6: Final answer
    x = 64.29

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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.