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Finding the Fourth Proportional to 8.53, 11.65 and 8.36

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Solution

The fourth proportional to 8.53, 11.65 and 8.36 is: 11.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.53 : 11.65 = 8.36 : x
  2. Step 2: Convert to fraction form
    8.53/11.65 = 8.36/x
  3. Step 3: Cross multiply
    8.53x = 11.65 × 8.36
  4. Step 4: Simplify right side
    8.53x = 97.39
  5. Step 5: Solve for x
    x = 97.39/8.53
  6. Step 6: Final answer
    x = 11.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.