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Finding the Fourth Proportional to 16.78, 23.09 and 14.58

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Solution

The fourth proportional to 16.78, 23.09 and 14.58 is: 20.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.09 = 14.58 : x
  2. Step 2: Convert to fraction form
    16.78/23.09 = 14.58/x
  3. Step 3: Cross multiply
    16.78x = 23.09 × 14.58
  4. Step 4: Simplify right side
    16.78x = 336.69
  5. Step 5: Solve for x
    x = 336.69/16.78
  6. Step 6: Final answer
    x = 20.07

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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.