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Finding the Fourth Proportional to 16.02, 24.00 and 13.52

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Solution

The fourth proportional to 16.02, 24.00 and 13.52 is: 20.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 24.00 = 13.52 : x
  2. Step 2: Convert to fraction form
    16.02/24.00 = 13.52/x
  3. Step 3: Cross multiply
    16.02x = 24.00 × 13.52
  4. Step 4: Simplify right side
    16.02x = 324.35
  5. Step 5: Solve for x
    x = 324.35/16.02
  6. Step 6: Final answer
    x = 20.24

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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.