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Finding the Fourth Proportional to 19.92, 29.76 and 16.80

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Solution

The fourth proportional to 19.92, 29.76 and 16.80 is: 25.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.92 : 29.76 = 16.80 : x
  2. Step 2: Convert to fraction form
    19.92/29.76 = 16.80/x
  3. Step 3: Cross multiply
    19.92x = 29.76 × 16.80
  4. Step 4: Simplify right side
    19.92x = 499.97
  5. Step 5: Solve for x
    x = 499.97/19.92
  6. Step 6: Final answer
    x = 25.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.