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Finding the Fourth Proportional to 11.98, 16.54 and 10.16

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Solution

The fourth proportional to 11.98, 16.54 and 10.16 is: 14.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 16.54 = 10.16 : x
  2. Step 2: Convert to fraction form
    11.98/16.54 = 10.16/x
  3. Step 3: Cross multiply
    11.98x = 16.54 × 10.16
  4. Step 4: Simplify right side
    11.98x = 168.05
  5. Step 5: Solve for x
    x = 168.05/11.98
  6. Step 6: Final answer
    x = 14.03

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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.