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Finding the Fourth Proportional to 66.91, 92.33 and 37.80

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Solution

The fourth proportional to 66.91, 92.33 and 37.80 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.91 : 92.33 = 37.80 : x
  2. Step 2: Convert to fraction form
    66.91/92.33 = 37.80/x
  3. Step 3: Cross multiply
    66.91x = 92.33 × 37.80
  4. Step 4: Simplify right side
    66.91x = 3,489.84
  5. Step 5: Solve for x
    x = 3,489.84/66.91
  6. Step 6: Final answer
    x = 52.16

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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.