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Finding the Fourth Proportional to 105.75, 145.71 and 103.05

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Solution

The fourth proportional to 105.75, 145.71 and 103.05 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 145.71 = 103.05 : x
  2. Step 2: Convert to fraction form
    105.75/145.71 = 103.05/x
  3. Step 3: Cross multiply
    105.75x = 145.71 × 103.05
  4. Step 4: Simplify right side
    105.75x = 15,015.42
  5. Step 5: Solve for x
    x = 15,015.42/105.75
  6. Step 6: Final answer
    x = 141.99

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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.