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Finding the Fourth Proportional to 8.02, 11.00 and 7.85

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Solution

The fourth proportional to 8.02, 11.00 and 7.85 is: 10.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.02 : 11.00 = 7.85 : x
  2. Step 2: Convert to fraction form
    8.02/11.00 = 7.85/x
  3. Step 3: Cross multiply
    8.02x = 11.00 × 7.85
  4. Step 4: Simplify right side
    8.02x = 86.34
  5. Step 5: Solve for x
    x = 86.34/8.02
  6. Step 6: Final answer
    x = 10.77

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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.