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Finding the Fourth Proportional to 11.67, 17.41 and 9.77

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Solution

The fourth proportional to 11.67, 17.41 and 9.77 is: 14.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.67 : 17.41 = 9.77 : x
  2. Step 2: Convert to fraction form
    11.67/17.41 = 9.77/x
  3. Step 3: Cross multiply
    11.67x = 17.41 × 9.77
  4. Step 4: Simplify right side
    11.67x = 170.10
  5. Step 5: Solve for x
    x = 170.10/11.67
  6. Step 6: Final answer
    x = 14.58

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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.