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Finding the Fourth Proportional to 39.98, 59.81 and 25.46

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Solution

The fourth proportional to 39.98, 59.81 and 25.46 is: 38.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.98 : 59.81 = 25.46 : x
  2. Step 2: Convert to fraction form
    39.98/59.81 = 25.46/x
  3. Step 3: Cross multiply
    39.98x = 59.81 × 25.46
  4. Step 4: Simplify right side
    39.98x = 1,522.78
  5. Step 5: Solve for x
    x = 1,522.78/39.98
  6. Step 6: Final answer
    x = 38.09

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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.