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Finding the Fourth Proportional to 69.58, 104.21 and 68.19

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Solution

The fourth proportional to 69.58, 104.21 and 68.19 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.58 : 104.21 = 68.19 : x
  2. Step 2: Convert to fraction form
    69.58/104.21 = 68.19/x
  3. Step 3: Cross multiply
    69.58x = 104.21 × 68.19
  4. Step 4: Simplify right side
    69.58x = 7,106.77
  5. Step 5: Solve for x
    x = 7,106.77/69.58
  6. Step 6: Final answer
    x = 102.14

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