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Finding the Fourth Proportional to 68.19, 102.31 and 22.54

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Solution

The fourth proportional to 68.19, 102.31 and 22.54 is: 33.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 102.31 = 22.54 : x
  2. Step 2: Convert to fraction form
    68.19/102.31 = 22.54/x
  3. Step 3: Cross multiply
    68.19x = 102.31 × 22.54
  4. Step 4: Simplify right side
    68.19x = 2,306.07
  5. Step 5: Solve for x
    x = 2,306.07/68.19
  6. Step 6: Final answer
    x = 33.82

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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.