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Finding the Fourth Proportional to 16.17, 24.16 and 14.04

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Solution

The fourth proportional to 16.17, 24.16 and 14.04 is: 20.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.17 : 24.16 = 14.04 : x
  2. Step 2: Convert to fraction form
    16.17/24.16 = 14.04/x
  3. Step 3: Cross multiply
    16.17x = 24.16 × 14.04
  4. Step 4: Simplify right side
    16.17x = 339.21
  5. Step 5: Solve for x
    x = 339.21/16.17
  6. Step 6: Final answer
    x = 20.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.