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Finding the Fourth Proportional to 16.20, 24.12 and 16.12

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Solution

The fourth proportional to 16.20, 24.12 and 16.12 is: 24.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.20 : 24.12 = 16.12 : x
  2. Step 2: Convert to fraction form
    16.20/24.12 = 16.12/x
  3. Step 3: Cross multiply
    16.20x = 24.12 × 16.12
  4. Step 4: Simplify right side
    16.20x = 388.81
  5. Step 5: Solve for x
    x = 388.81/16.20
  6. Step 6: Final answer
    x = 24.00

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Why These Related Problems?

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