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Finding the Fourth Proportional to 44.09, 66.38 and 34.07

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Solution

The fourth proportional to 44.09, 66.38 and 34.07 is: 51.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.09 : 66.38 = 34.07 : x
  2. Step 2: Convert to fraction form
    44.09/66.38 = 34.07/x
  3. Step 3: Cross multiply
    44.09x = 66.38 × 34.07
  4. Step 4: Simplify right side
    44.09x = 2,261.68
  5. Step 5: Solve for x
    x = 2,261.68/44.09
  6. Step 6: Final answer
    x = 51.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.