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Finding the Fourth Proportional to 8.77, 13.16 and 8.27

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Solution

The fourth proportional to 8.77, 13.16 and 8.27 is: 12.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.77 : 13.16 = 8.27 : x
  2. Step 2: Convert to fraction form
    8.77/13.16 = 8.27/x
  3. Step 3: Cross multiply
    8.77x = 13.16 × 8.27
  4. Step 4: Simplify right side
    8.77x = 108.83
  5. Step 5: Solve for x
    x = 108.83/8.77
  6. Step 6: Final answer
    x = 12.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.