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Finding the Fourth Proportional to 37.03, 51.09 and 22.45

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Solution

The fourth proportional to 37.03, 51.09 and 22.45 is: 30.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.03 : 51.09 = 22.45 : x
  2. Step 2: Convert to fraction form
    37.03/51.09 = 22.45/x
  3. Step 3: Cross multiply
    37.03x = 51.09 × 22.45
  4. Step 4: Simplify right side
    37.03x = 1,146.97
  5. Step 5: Solve for x
    x = 1,146.97/37.03
  6. Step 6: Final answer
    x = 30.97

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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.