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Finding the Fourth Proportional to 16.99, 25.55 and 14.16

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Solution

The fourth proportional to 16.99, 25.55 and 14.16 is: 21.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.99 : 25.55 = 14.16 : x
  2. Step 2: Convert to fraction form
    16.99/25.55 = 14.16/x
  3. Step 3: Cross multiply
    16.99x = 25.55 × 14.16
  4. Step 4: Simplify right side
    16.99x = 361.72
  5. Step 5: Solve for x
    x = 361.72/16.99
  6. Step 6: Final answer
    x = 21.29

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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.