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Finding the Fourth Proportional to 36.90, 54.95 and 36.23

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Solution

The fourth proportional to 36.90, 54.95 and 36.23 is: 53.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.90 : 54.95 = 36.23 : x
  2. Step 2: Convert to fraction form
    36.90/54.95 = 36.23/x
  3. Step 3: Cross multiply
    36.90x = 54.95 × 36.23
  4. Step 4: Simplify right side
    36.90x = 1,990.38
  5. Step 5: Solve for x
    x = 1,990.38/36.90
  6. Step 6: Final answer
    x = 53.94

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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.