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Finding the Fourth Proportional to 67.26, 92.86 and 47.82

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Solution

The fourth proportional to 67.26, 92.86 and 47.82 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.26 : 92.86 = 47.82 : x
  2. Step 2: Convert to fraction form
    67.26/92.86 = 47.82/x
  3. Step 3: Cross multiply
    67.26x = 92.86 × 47.82
  4. Step 4: Simplify right side
    67.26x = 4,440.57
  5. Step 5: Solve for x
    x = 4,440.57/67.26
  6. Step 6: Final answer
    x = 66.02

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Why These Related Problems?

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