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Finding the Fourth Proportional to 17.66, 24.42 and 16.46

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Solution

The fourth proportional to 17.66, 24.42 and 16.46 is: 22.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 24.42 = 16.46 : x
  2. Step 2: Convert to fraction form
    17.66/24.42 = 16.46/x
  3. Step 3: Cross multiply
    17.66x = 24.42 × 16.46
  4. Step 4: Simplify right side
    17.66x = 401.95
  5. Step 5: Solve for x
    x = 401.95/17.66
  6. Step 6: Final answer
    x = 22.76

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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.