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Finding the Fourth Proportional to 105.59, 144.87 and 100.43

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Solution

The fourth proportional to 105.59, 144.87 and 100.43 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 144.87 = 100.43 : x
  2. Step 2: Convert to fraction form
    105.59/144.87 = 100.43/x
  3. Step 3: Cross multiply
    105.59x = 144.87 × 100.43
  4. Step 4: Simplify right side
    105.59x = 14,549.29
  5. Step 5: Solve for x
    x = 14,549.29/105.59
  6. Step 6: Final answer
    x = 137.79

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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.