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Finding the Fourth Proportional to 37.49, 51.60 and 28.26

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Solution

The fourth proportional to 37.49, 51.60 and 28.26 is: 38.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.49 : 51.60 = 28.26 : x
  2. Step 2: Convert to fraction form
    37.49/51.60 = 28.26/x
  3. Step 3: Cross multiply
    37.49x = 51.60 × 28.26
  4. Step 4: Simplify right side
    37.49x = 1,458.22
  5. Step 5: Solve for x
    x = 1,458.22/37.49
  6. Step 6: Final answer
    x = 38.90

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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.