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Finding the Fourth Proportional to 16.34, 22.39 and 16.14

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Solution

The fourth proportional to 16.34, 22.39 and 16.14 is: 22.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.34 : 22.39 = 16.14 : x
  2. Step 2: Convert to fraction form
    16.34/22.39 = 16.14/x
  3. Step 3: Cross multiply
    16.34x = 22.39 × 16.14
  4. Step 4: Simplify right side
    16.34x = 361.30
  5. Step 5: Solve for x
    x = 361.30/16.34
  6. Step 6: Final answer
    x = 22.11

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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.