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Finding the Fourth Proportional to 22.12, 30.55 and 16.65

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Solution

The fourth proportional to 22.12, 30.55 and 16.65 is: 23.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.12 : 30.55 = 16.65 : x
  2. Step 2: Convert to fraction form
    22.12/30.55 = 16.65/x
  3. Step 3: Cross multiply
    22.12x = 30.55 × 16.65
  4. Step 4: Simplify right side
    22.12x = 508.73
  5. Step 5: Solve for x
    x = 508.73/22.12
  6. Step 6: Final answer
    x = 23.00

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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.