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Finding the Fourth Proportional to 8.37, 11.55 and 5.96

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Solution

The fourth proportional to 8.37, 11.55 and 5.96 is: 8.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.37 : 11.55 = 5.96 : x
  2. Step 2: Convert to fraction form
    8.37/11.55 = 5.96/x
  3. Step 3: Cross multiply
    8.37x = 11.55 × 5.96
  4. Step 4: Simplify right side
    8.37x = 68.78
  5. Step 5: Solve for x
    x = 68.78/8.37
  6. Step 6: Final answer
    x = 8.22

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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.