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Finding the Fourth Proportional to 7.11, 10.64 and 6.05

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Solution

The fourth proportional to 7.11, 10.64 and 6.05 is: 9.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.11 : 10.64 = 6.05 : x
  2. Step 2: Convert to fraction form
    7.11/10.64 = 6.05/x
  3. Step 3: Cross multiply
    7.11x = 10.64 × 6.05
  4. Step 4: Simplify right side
    7.11x = 64.29
  5. Step 5: Solve for x
    x = 64.29/7.11
  6. Step 6: Final answer
    x = 9.04

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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.