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Finding the Fourth Proportional to 8.23, 11.36 and 4.60

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Solution

The fourth proportional to 8.23, 11.36 and 4.60 is: 6.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 11.36 = 4.60 : x
  2. Step 2: Convert to fraction form
    8.23/11.36 = 4.60/x
  3. Step 3: Cross multiply
    8.23x = 11.36 × 4.60
  4. Step 4: Simplify right side
    8.23x = 52.23
  5. Step 5: Solve for x
    x = 52.23/8.23
  6. Step 6: Final answer
    x = 6.34

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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.