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Finding the Fourth Proportional to 68.49, 102.74 and 22.84

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Solution

The fourth proportional to 68.49, 102.74 and 22.84 is: 34.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.49 : 102.74 = 22.84 : x
  2. Step 2: Convert to fraction form
    68.49/102.74 = 22.84/x
  3. Step 3: Cross multiply
    68.49x = 102.74 × 22.84
  4. Step 4: Simplify right side
    68.49x = 2,346.58
  5. Step 5: Solve for x
    x = 2,346.58/68.49
  6. Step 6: Final answer
    x = 34.26

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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.