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Finding the Fourth Proportional to 70.46, 97.22 and 50.81

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Solution

The fourth proportional to 70.46, 97.22 and 50.81 is: 70.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 97.22 = 50.81 : x
  2. Step 2: Convert to fraction form
    70.46/97.22 = 50.81/x
  3. Step 3: Cross multiply
    70.46x = 97.22 × 50.81
  4. Step 4: Simplify right side
    70.46x = 4,940.12
  5. Step 5: Solve for x
    x = 4,940.12/70.46
  6. Step 6: Final answer
    x = 70.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.