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Finding the Fourth Proportional to 16.83, 23.27 and 14.10

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Solution

The fourth proportional to 16.83, 23.27 and 14.10 is: 19.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.83 : 23.27 = 14.10 : x
  2. Step 2: Convert to fraction form
    16.83/23.27 = 14.10/x
  3. Step 3: Cross multiply
    16.83x = 23.27 × 14.10
  4. Step 4: Simplify right side
    16.83x = 328.04
  5. Step 5: Solve for x
    x = 328.04/16.83
  6. Step 6: Final answer
    x = 19.49

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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.