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Finding the Fourth Proportional to 37.01, 55.38 and 25.57

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Solution

The fourth proportional to 37.01, 55.38 and 25.57 is: 38.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.01 : 55.38 = 25.57 : x
  2. Step 2: Convert to fraction form
    37.01/55.38 = 25.57/x
  3. Step 3: Cross multiply
    37.01x = 55.38 × 25.57
  4. Step 4: Simplify right side
    37.01x = 1,415.92
  5. Step 5: Solve for x
    x = 1,415.92/37.01
  6. Step 6: Final answer
    x = 38.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.