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Finding the Fourth Proportional to 19.22, 28.71 and 16.19

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Solution

The fourth proportional to 19.22, 28.71 and 16.19 is: 24.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 28.71 = 16.19 : x
  2. Step 2: Convert to fraction form
    19.22/28.71 = 16.19/x
  3. Step 3: Cross multiply
    19.22x = 28.71 × 16.19
  4. Step 4: Simplify right side
    19.22x = 464.67
  5. Step 5: Solve for x
    x = 464.67/19.22
  6. Step 6: Final answer
    x = 24.18

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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.