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Finding the Fourth Proportional to 11.93, 16.49 and 9.77

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Solution

The fourth proportional to 11.93, 16.49 and 9.77 is: 13.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.93 : 16.49 = 9.77 : x
  2. Step 2: Convert to fraction form
    11.93/16.49 = 9.77/x
  3. Step 3: Cross multiply
    11.93x = 16.49 × 9.77
  4. Step 4: Simplify right side
    11.93x = 161.06
  5. Step 5: Solve for x
    x = 161.06/11.93
  6. Step 6: Final answer
    x = 13.50

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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.