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Finding the Fourth Proportional to 37.90, 52.25 and 26.09

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Solution

The fourth proportional to 37.90, 52.25 and 26.09 is: 35.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.90 : 52.25 = 26.09 : x
  2. Step 2: Convert to fraction form
    37.90/52.25 = 26.09/x
  3. Step 3: Cross multiply
    37.90x = 52.25 × 26.09
  4. Step 4: Simplify right side
    37.90x = 1,362.94
  5. Step 5: Solve for x
    x = 1,362.94/37.90
  6. Step 6: Final answer
    x = 35.96

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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.