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Finding the Fourth Proportional to 16.02, 24.12 and 13.02

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Solution

The fourth proportional to 16.02, 24.12 and 13.02 is: 19.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 24.12 = 13.02 : x
  2. Step 2: Convert to fraction form
    16.02/24.12 = 13.02/x
  3. Step 3: Cross multiply
    16.02x = 24.12 × 13.02
  4. Step 4: Simplify right side
    16.02x = 313.98
  5. Step 5: Solve for x
    x = 313.98/16.02
  6. Step 6: Final answer
    x = 19.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.