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Finding the Fourth Proportional to 16.68, 23.00 and 13.22

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Solution

The fourth proportional to 16.68, 23.00 and 13.22 is: 18.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.68 : 23.00 = 13.22 : x
  2. Step 2: Convert to fraction form
    16.68/23.00 = 13.22/x
  3. Step 3: Cross multiply
    16.68x = 23.00 × 13.22
  4. Step 4: Simplify right side
    16.68x = 304.15
  5. Step 5: Solve for x
    x = 304.15/16.68
  6. Step 6: Final answer
    x = 18.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.