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Finding the Fourth Proportional to 36.39, 54.14 and 34.23

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Solution

The fourth proportional to 36.39, 54.14 and 34.23 is: 50.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.39 : 54.14 = 34.23 : x
  2. Step 2: Convert to fraction form
    36.39/54.14 = 34.23/x
  3. Step 3: Cross multiply
    36.39x = 54.14 × 34.23
  4. Step 4: Simplify right side
    36.39x = 1,853.17
  5. Step 5: Solve for x
    x = 1,853.17/36.39
  6. Step 6: Final answer
    x = 50.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.