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Finding the Fourth Proportional to 66.68, 92.01 and 37.57

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Solution

The fourth proportional to 66.68, 92.01 and 37.57 is: 51.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.68 : 92.01 = 37.57 : x
  2. Step 2: Convert to fraction form
    66.68/92.01 = 37.57/x
  3. Step 3: Cross multiply
    66.68x = 92.01 × 37.57
  4. Step 4: Simplify right side
    66.68x = 3,456.36
  5. Step 5: Solve for x
    x = 3,456.36/66.68
  6. Step 6: Final answer
    x = 51.83

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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.