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Finding the Fourth Proportional to 6.65, 9.11 and 6.56

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Solution

The fourth proportional to 6.65, 9.11 and 6.56 is: 8.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.65 : 9.11 = 6.56 : x
  2. Step 2: Convert to fraction form
    6.65/9.11 = 6.56/x
  3. Step 3: Cross multiply
    6.65x = 9.11 × 6.56
  4. Step 4: Simplify right side
    6.65x = 59.77
  5. Step 5: Solve for x
    x = 59.77/6.65
  6. Step 6: Final answer
    x = 8.99

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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.