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Finding the Fourth Proportional to 22.23, 30.65 and 16.78

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Solution

The fourth proportional to 22.23, 30.65 and 16.78 is: 23.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.23 : 30.65 = 16.78 : x
  2. Step 2: Convert to fraction form
    22.23/30.65 = 16.78/x
  3. Step 3: Cross multiply
    22.23x = 30.65 × 16.78
  4. Step 4: Simplify right side
    22.23x = 514.31
  5. Step 5: Solve for x
    x = 514.31/22.23
  6. Step 6: Final answer
    x = 23.14

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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.