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Finding the Fourth Proportional to 11.33, 16.90 and 9.83

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Solution

The fourth proportional to 11.33, 16.90 and 9.83 is: 14.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.33 : 16.90 = 9.83 : x
  2. Step 2: Convert to fraction form
    11.33/16.90 = 9.83/x
  3. Step 3: Cross multiply
    11.33x = 16.90 × 9.83
  4. Step 4: Simplify right side
    11.33x = 166.02
  5. Step 5: Solve for x
    x = 166.02/11.33
  6. Step 6: Final answer
    x = 14.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.