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Finding the Fourth Proportional to 7.95, 11.91 and 6.16

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Solution

The fourth proportional to 7.95, 11.91 and 6.16 is: 9.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.95 : 11.91 = 6.16 : x
  2. Step 2: Convert to fraction form
    7.95/11.91 = 6.16/x
  3. Step 3: Cross multiply
    7.95x = 11.91 × 6.16
  4. Step 4: Simplify right side
    7.95x = 73.37
  5. Step 5: Solve for x
    x = 73.37/7.95
  6. Step 6: Final answer
    x = 9.23

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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.