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Finding the Fourth Proportional to 37.23, 56.09 and 35.74

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Solution

The fourth proportional to 37.23, 56.09 and 35.74 is: 53.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.23 : 56.09 = 35.74 : x
  2. Step 2: Convert to fraction form
    37.23/56.09 = 35.74/x
  3. Step 3: Cross multiply
    37.23x = 56.09 × 35.74
  4. Step 4: Simplify right side
    37.23x = 2,004.66
  5. Step 5: Solve for x
    x = 2,004.66/37.23
  6. Step 6: Final answer
    x = 53.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.