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Finding the Fourth Proportional to 8.44, 11.64 and 5.16

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Solution

The fourth proportional to 8.44, 11.64 and 5.16 is: 7.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.44 : 11.64 = 5.16 : x
  2. Step 2: Convert to fraction form
    8.44/11.64 = 5.16/x
  3. Step 3: Cross multiply
    8.44x = 11.64 × 5.16
  4. Step 4: Simplify right side
    8.44x = 59.98
  5. Step 5: Solve for x
    x = 59.98/8.44
  6. Step 6: Final answer
    x = 7.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.