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Finding the Fourth Proportional to 105.02, 144.96 and 83.18

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Solution

The fourth proportional to 105.02, 144.96 and 83.18 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 144.96 = 83.18 : x
  2. Step 2: Convert to fraction form
    105.02/144.96 = 83.18/x
  3. Step 3: Cross multiply
    105.02x = 144.96 × 83.18
  4. Step 4: Simplify right side
    105.02x = 12,057.77
  5. Step 5: Solve for x
    x = 12,057.77/105.02
  6. Step 6: Final answer
    x = 114.81

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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.