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Finding the Fourth Proportional to 16.64, 22.94 and 11.97

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Solution

The fourth proportional to 16.64, 22.94 and 11.97 is: 16.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.64 : 22.94 = 11.97 : x
  2. Step 2: Convert to fraction form
    16.64/22.94 = 11.97/x
  3. Step 3: Cross multiply
    16.64x = 22.94 × 11.97
  4. Step 4: Simplify right side
    16.64x = 274.59
  5. Step 5: Solve for x
    x = 274.59/16.64
  6. Step 6: Final answer
    x = 16.50

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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.