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Finding the Fourth Proportional to 19.05, 28.51 and 16.24

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Solution

The fourth proportional to 19.05, 28.51 and 16.24 is: 24.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.05 : 28.51 = 16.24 : x
  2. Step 2: Convert to fraction form
    19.05/28.51 = 16.24/x
  3. Step 3: Cross multiply
    19.05x = 28.51 × 16.24
  4. Step 4: Simplify right side
    19.05x = 463.00
  5. Step 5: Solve for x
    x = 463.00/19.05
  6. Step 6: Final answer
    x = 24.30

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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.