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Finding the Fourth Proportional to 16.76, 23.20 and 16.20

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Solution

The fourth proportional to 16.76, 23.20 and 16.20 is: 22.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.76 : 23.20 = 16.20 : x
  2. Step 2: Convert to fraction form
    16.76/23.20 = 16.20/x
  3. Step 3: Cross multiply
    16.76x = 23.20 × 16.20
  4. Step 4: Simplify right side
    16.76x = 375.84
  5. Step 5: Solve for x
    x = 375.84/16.76
  6. Step 6: Final answer
    x = 22.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.