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Finding the Fourth Proportional to 105.42, 144.18 and 103.83

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Solution

The fourth proportional to 105.42, 144.18 and 103.83 is: 142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 144.18 = 103.83 : x
  2. Step 2: Convert to fraction form
    105.42/144.18 = 103.83/x
  3. Step 3: Cross multiply
    105.42x = 144.18 × 103.83
  4. Step 4: Simplify right side
    105.42x = 14,970.21
  5. Step 5: Solve for x
    x = 14,970.21/105.42
  6. Step 6: Final answer
    x = 142.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.