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Finding the Fourth Proportional to 16.05, 22.16 and 14.68

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Solution

The fourth proportional to 16.05, 22.16 and 14.68 is: 20.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.05 : 22.16 = 14.68 : x
  2. Step 2: Convert to fraction form
    16.05/22.16 = 14.68/x
  3. Step 3: Cross multiply
    16.05x = 22.16 × 14.68
  4. Step 4: Simplify right side
    16.05x = 325.31
  5. Step 5: Solve for x
    x = 325.31/16.05
  6. Step 6: Final answer
    x = 20.27

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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.