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Finding the Fourth Proportional to 70.70, 105.22 and 69.98

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Solution

The fourth proportional to 70.70, 105.22 and 69.98 is: 104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.70 : 105.22 = 69.98 : x
  2. Step 2: Convert to fraction form
    70.70/105.22 = 69.98/x
  3. Step 3: Cross multiply
    70.70x = 105.22 × 69.98
  4. Step 4: Simplify right side
    70.70x = 7,362.95
  5. Step 5: Solve for x
    x = 7,362.95/70.70
  6. Step 6: Final answer
    x = 104.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.