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Finding the Fourth Proportional to 70.99, 105.81 and 63.23

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Solution

The fourth proportional to 70.99, 105.81 and 63.23 is: 94.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.99 : 105.81 = 63.23 : x
  2. Step 2: Convert to fraction form
    70.99/105.81 = 63.23/x
  3. Step 3: Cross multiply
    70.99x = 105.81 × 63.23
  4. Step 4: Simplify right side
    70.99x = 6,690.63
  5. Step 5: Solve for x
    x = 6,690.63/70.99
  6. Step 6: Final answer
    x = 94.25

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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.