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Finding the Fourth Proportional to 8.37, 11.52 and 8.37

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Solution

The fourth proportional to 8.37, 11.52 and 8.37 is: 11.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.37 : 11.52 = 8.37 : x
  2. Step 2: Convert to fraction form
    8.37/11.52 = 8.37/x
  3. Step 3: Cross multiply
    8.37x = 11.52 × 8.37
  4. Step 4: Simplify right side
    8.37x = 96.42
  5. Step 5: Solve for x
    x = 96.42/8.37
  6. Step 6: Final answer
    x = 11.52

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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.