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Finding the Fourth Proportional to 16.97, 23.28 and 16.46

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Solution

The fourth proportional to 16.97, 23.28 and 16.46 is: 22.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.97 : 23.28 = 16.46 : x
  2. Step 2: Convert to fraction form
    16.97/23.28 = 16.46/x
  3. Step 3: Cross multiply
    16.97x = 23.28 × 16.46
  4. Step 4: Simplify right side
    16.97x = 383.22
  5. Step 5: Solve for x
    x = 383.22/16.97
  6. Step 6: Final answer
    x = 22.58

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