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Finding the Fourth Proportional to 16.78, 23.16 and 10.31

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Solution

The fourth proportional to 16.78, 23.16 and 10.31 is: 14.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.16 = 10.31 : x
  2. Step 2: Convert to fraction form
    16.78/23.16 = 10.31/x
  3. Step 3: Cross multiply
    16.78x = 23.16 × 10.31
  4. Step 4: Simplify right side
    16.78x = 238.84
  5. Step 5: Solve for x
    x = 238.84/16.78
  6. Step 6: Final answer
    x = 14.23

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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.