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Finding the Fourth Proportional to 37.57, 56.30 and 23.09

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Solution

The fourth proportional to 37.57, 56.30 and 23.09 is: 34.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.57 : 56.30 = 23.09 : x
  2. Step 2: Convert to fraction form
    37.57/56.30 = 23.09/x
  3. Step 3: Cross multiply
    37.57x = 56.30 × 23.09
  4. Step 4: Simplify right side
    37.57x = 1,299.97
  5. Step 5: Solve for x
    x = 1,299.97/37.57
  6. Step 6: Final answer
    x = 34.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.