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Finding the Fourth Proportional to 105.09, 144.88 and 102.79

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Solution

The fourth proportional to 105.09, 144.88 and 102.79 is: 141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 144.88 = 102.79 : x
  2. Step 2: Convert to fraction form
    105.09/144.88 = 102.79/x
  3. Step 3: Cross multiply
    105.09x = 144.88 × 102.79
  4. Step 4: Simplify right side
    105.09x = 14,892.22
  5. Step 5: Solve for x
    x = 14,892.22/105.09
  6. Step 6: Final answer
    x = 141.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.