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Finding the Fourth Proportional to 22.33, 30.80 and 16.19

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Solution

The fourth proportional to 22.33, 30.80 and 16.19 is: 22.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.33 : 30.80 = 16.19 : x
  2. Step 2: Convert to fraction form
    22.33/30.80 = 16.19/x
  3. Step 3: Cross multiply
    22.33x = 30.80 × 16.19
  4. Step 4: Simplify right side
    22.33x = 498.65
  5. Step 5: Solve for x
    x = 498.65/22.33
  6. Step 6: Final answer
    x = 22.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.