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Finding the Fourth Proportional to 16.78, 23.99 and 16.78

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Solution

The fourth proportional to 16.78, 23.99 and 16.78 is: 23.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.99 = 16.78 : x
  2. Step 2: Convert to fraction form
    16.78/23.99 = 16.78/x
  3. Step 3: Cross multiply
    16.78x = 23.99 × 16.78
  4. Step 4: Simplify right side
    16.78x = 402.55
  5. Step 5: Solve for x
    x = 402.55/16.78
  6. Step 6: Final answer
    x = 23.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.