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Finding the Fourth Proportional to 36.52, 54.76 and 23

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Solution

The fourth proportional to 36.52, 54.76 and 23 is: 34.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.52 : 54.76 = 23 : x
  2. Step 2: Convert to fraction form
    36.52/54.76 = 23/x
  3. Step 3: Cross multiply
    36.52x = 54.76 × 23
  4. Step 4: Simplify right side
    36.52x = 1,259.48
  5. Step 5: Solve for x
    x = 1,259.48/36.52
  6. Step 6: Final answer
    x = 34.49

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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.