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Finding the Fourth Proportional to 37.74, 56.68 and 23.32

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Solution

The fourth proportional to 37.74, 56.68 and 23.32 is: 35.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.74 : 56.68 = 23.32 : x
  2. Step 2: Convert to fraction form
    37.74/56.68 = 23.32/x
  3. Step 3: Cross multiply
    37.74x = 56.68 × 23.32
  4. Step 4: Simplify right side
    37.74x = 1,321.78
  5. Step 5: Solve for x
    x = 1,321.78/37.74
  6. Step 6: Final answer
    x = 35.02

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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.