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Finding the Fourth Proportional to 134.41, 185.14 and 105.25

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Solution

The fourth proportional to 134.41, 185.14 and 105.25 is: 144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.41 : 185.14 = 105.25 : x
  2. Step 2: Convert to fraction form
    134.41/185.14 = 105.25/x
  3. Step 3: Cross multiply
    134.41x = 185.14 × 105.25
  4. Step 4: Simplify right side
    134.41x = 19,485.41
  5. Step 5: Solve for x
    x = 19,485.41/134.41
  6. Step 6: Final answer
    x = 144.97

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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.