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Finding the Fourth Proportional to 24.75, 37.07 and 16.71

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Solution

The fourth proportional to 24.75, 37.07 and 16.71 is: 25.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 37.07 = 16.71 : x
  2. Step 2: Convert to fraction form
    24.75/37.07 = 16.71/x
  3. Step 3: Cross multiply
    24.75x = 37.07 × 16.71
  4. Step 4: Simplify right side
    24.75x = 619.44
  5. Step 5: Solve for x
    x = 619.44/24.75
  6. Step 6: Final answer
    x = 25.03

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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.