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Finding the Fourth Proportional to 15.22, 22.83 and 8

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Solution

The fourth proportional to 15.22, 22.83 and 8 is: 12.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.22 : 22.83 = 8 : x
  2. Step 2: Convert to fraction form
    15.22/22.83 = 8/x
  3. Step 3: Cross multiply
    15.22x = 22.83 × 8
  4. Step 4: Simplify right side
    15.22x = 182.66
  5. Step 5: Solve for x
    x = 182.66/15.22
  6. Step 6: Final answer
    x = 12.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.