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Finding the Fourth Proportional to 22.58, 33.86 and 8.13

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Solution

The fourth proportional to 22.58, 33.86 and 8.13 is: 12.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.58 : 33.86 = 8.13 : x
  2. Step 2: Convert to fraction form
    22.58/33.86 = 8.13/x
  3. Step 3: Cross multiply
    22.58x = 33.86 × 8.13
  4. Step 4: Simplify right side
    22.58x = 275.28
  5. Step 5: Solve for x
    x = 275.28/22.58
  6. Step 6: Final answer
    x = 12.19

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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.