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Finding the Fourth Proportional to 66.74, 92.08 and 37.62

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Solution

The fourth proportional to 66.74, 92.08 and 37.62 is: 51.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.74 : 92.08 = 37.62 : x
  2. Step 2: Convert to fraction form
    66.74/92.08 = 37.62/x
  3. Step 3: Cross multiply
    66.74x = 92.08 × 37.62
  4. Step 4: Simplify right side
    66.74x = 3,464.10
  5. Step 5: Solve for x
    x = 3,464.10/66.74
  6. Step 6: Final answer
    x = 51.91

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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.