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Finding the Fourth Proportional to 36.48, 54.60 and 23

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Solution

The fourth proportional to 36.48, 54.60 and 23 is: 34.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.48 : 54.60 = 23 : x
  2. Step 2: Convert to fraction form
    36.48/54.60 = 23/x
  3. Step 3: Cross multiply
    36.48x = 54.60 × 23
  4. Step 4: Simplify right side
    36.48x = 1,255.80
  5. Step 5: Solve for x
    x = 1,255.80/36.48
  6. Step 6: Final answer
    x = 34.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.