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Finding the Fourth Proportional to 8.45, 11.64 and 7.37

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Solution

The fourth proportional to 8.45, 11.64 and 7.37 is: 10.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.45 : 11.64 = 7.37 : x
  2. Step 2: Convert to fraction form
    8.45/11.64 = 7.37/x
  3. Step 3: Cross multiply
    8.45x = 11.64 × 7.37
  4. Step 4: Simplify right side
    8.45x = 85.73
  5. Step 5: Solve for x
    x = 85.73/8.45
  6. Step 6: Final answer
    x = 10.15

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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.