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Finding the Fourth Proportional to 19.00, 28.46 and 8.16

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Solution

The fourth proportional to 19.00, 28.46 and 8.16 is: 12.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.00 : 28.46 = 8.16 : x
  2. Step 2: Convert to fraction form
    19.00/28.46 = 8.16/x
  3. Step 3: Cross multiply
    19.00x = 28.46 × 8.16
  4. Step 4: Simplify right side
    19.00x = 232.15
  5. Step 5: Solve for x
    x = 232.15/19.00
  6. Step 6: Final answer
    x = 12.22

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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.