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Finding the Fourth Proportional to 66.97, 92.41 and 37.86

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Solution

The fourth proportional to 66.97, 92.41 and 37.86 is: 52.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.97 : 92.41 = 37.86 : x
  2. Step 2: Convert to fraction form
    66.97/92.41 = 37.86/x
  3. Step 3: Cross multiply
    66.97x = 92.41 × 37.86
  4. Step 4: Simplify right side
    66.97x = 3,498.64
  5. Step 5: Solve for x
    x = 3,498.64/66.97
  6. Step 6: Final answer
    x = 52.24

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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.