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Finding the Fourth Proportional to 37.64, 51.95 and 23.09

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Solution

The fourth proportional to 37.64, 51.95 and 23.09 is: 31.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.64 : 51.95 = 23.09 : x
  2. Step 2: Convert to fraction form
    37.64/51.95 = 23.09/x
  3. Step 3: Cross multiply
    37.64x = 51.95 × 23.09
  4. Step 4: Simplify right side
    37.64x = 1,199.15
  5. Step 5: Solve for x
    x = 1,199.15/37.64
  6. Step 6: Final answer
    x = 31.86

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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.