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Finding the Fourth Proportional to 37.66, 51.95 and 23.08

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Solution

The fourth proportional to 37.66, 51.95 and 23.08 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 51.95 = 23.08 : x
  2. Step 2: Convert to fraction form
    37.66/51.95 = 23.08/x
  3. Step 3: Cross multiply
    37.66x = 51.95 × 23.08
  4. Step 4: Simplify right side
    37.66x = 1,198.93
  5. Step 5: Solve for x
    x = 1,198.93/37.66
  6. Step 6: Final answer
    x = 31.84

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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.