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Finding the Fourth Proportional to 16.22, 24.26 and 14.10

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Solution

The fourth proportional to 16.22, 24.26 and 14.10 is: 21.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.22 : 24.26 = 14.10 : x
  2. Step 2: Convert to fraction form
    16.22/24.26 = 14.10/x
  3. Step 3: Cross multiply
    16.22x = 24.26 × 14.10
  4. Step 4: Simplify right side
    16.22x = 341.87
  5. Step 5: Solve for x
    x = 341.87/16.22
  6. Step 6: Final answer
    x = 21.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.