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Finding the Fourth Proportional to 16.02, 24.02 and 13.46

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Solution

The fourth proportional to 16.02, 24.02 and 13.46 is: 20.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 24.02 = 13.46 : x
  2. Step 2: Convert to fraction form
    16.02/24.02 = 13.46/x
  3. Step 3: Cross multiply
    16.02x = 24.02 × 13.46
  4. Step 4: Simplify right side
    16.02x = 323.31
  5. Step 5: Solve for x
    x = 323.31/16.02
  6. Step 6: Final answer
    x = 20.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.