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Finding the Fourth Proportional to 16.75, 23.08 and 14.93

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Solution

The fourth proportional to 16.75, 23.08 and 14.93 is: 20.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 23.08 = 14.93 : x
  2. Step 2: Convert to fraction form
    16.75/23.08 = 14.93/x
  3. Step 3: Cross multiply
    16.75x = 23.08 × 14.93
  4. Step 4: Simplify right side
    16.75x = 344.58
  5. Step 5: Solve for x
    x = 344.58/16.75
  6. Step 6: Final answer
    x = 20.57

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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.