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Finding the Fourth Proportional to 17.66, 24.24 and 16.04

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Solution

The fourth proportional to 17.66, 24.24 and 16.04 is: 22.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 24.24 = 16.04 : x
  2. Step 2: Convert to fraction form
    17.66/24.24 = 16.04/x
  3. Step 3: Cross multiply
    17.66x = 24.24 × 16.04
  4. Step 4: Simplify right side
    17.66x = 388.81
  5. Step 5: Solve for x
    x = 388.81/17.66
  6. Step 6: Final answer
    x = 22.02

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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.