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Finding the Fourth Proportional to 18.08, 24.82 and 16.64

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Solution

The fourth proportional to 18.08, 24.82 and 16.64 is: 22.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.08 : 24.82 = 16.64 : x
  2. Step 2: Convert to fraction form
    18.08/24.82 = 16.64/x
  3. Step 3: Cross multiply
    18.08x = 24.82 × 16.64
  4. Step 4: Simplify right side
    18.08x = 413.00
  5. Step 5: Solve for x
    x = 413.00/18.08
  6. Step 6: Final answer
    x = 22.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.