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Finding the Fourth Proportional to 20.48, 30.74 and 16.68

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Solution

The fourth proportional to 20.48, 30.74 and 16.68 is: 25.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.48 : 30.74 = 16.68 : x
  2. Step 2: Convert to fraction form
    20.48/30.74 = 16.68/x
  3. Step 3: Cross multiply
    20.48x = 30.74 × 16.68
  4. Step 4: Simplify right side
    20.48x = 512.74
  5. Step 5: Solve for x
    x = 512.74/20.48
  6. Step 6: Final answer
    x = 25.04

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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.