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Finding the Fourth Proportional to 16.99, 23.46 and 14.71

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Solution

The fourth proportional to 16.99, 23.46 and 14.71 is: 20.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.99 : 23.46 = 14.71 : x
  2. Step 2: Convert to fraction form
    16.99/23.46 = 14.71/x
  3. Step 3: Cross multiply
    16.99x = 23.46 × 14.71
  4. Step 4: Simplify right side
    16.99x = 345.10
  5. Step 5: Solve for x
    x = 345.10/16.99
  6. Step 6: Final answer
    x = 20.31

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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.