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Finding the Fourth Proportional to 37.63, 51.89 and 23.05

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Solution

The fourth proportional to 37.63, 51.89 and 23.05 is: 31.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.63 : 51.89 = 23.05 : x
  2. Step 2: Convert to fraction form
    37.63/51.89 = 23.05/x
  3. Step 3: Cross multiply
    37.63x = 51.89 × 23.05
  4. Step 4: Simplify right side
    37.63x = 1,195.95
  5. Step 5: Solve for x
    x = 1,195.95/37.63
  6. Step 6: Final answer
    x = 31.78

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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.