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Finding the Fourth Proportional to 16.04, 22.10 and 14.20

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Solution

The fourth proportional to 16.04, 22.10 and 14.20 is: 19.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.04 : 22.10 = 14.20 : x
  2. Step 2: Convert to fraction form
    16.04/22.10 = 14.20/x
  3. Step 3: Cross multiply
    16.04x = 22.10 × 14.20
  4. Step 4: Simplify right side
    16.04x = 313.82
  5. Step 5: Solve for x
    x = 313.82/16.04
  6. Step 6: Final answer
    x = 19.56

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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.