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Finding the Fourth Proportional to 7.89, 10.83 and 7.77

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Solution

The fourth proportional to 7.89, 10.83 and 7.77 is: 10.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.89 : 10.83 = 7.77 : x
  2. Step 2: Convert to fraction form
    7.89/10.83 = 7.77/x
  3. Step 3: Cross multiply
    7.89x = 10.83 × 7.77
  4. Step 4: Simplify right side
    7.89x = 84.22
  5. Step 5: Solve for x
    x = 84.22/7.89
  6. Step 6: Final answer
    x = 10.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.