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Finding the Fourth Proportional to 39.50, 54.50 and 23.12

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Solution

The fourth proportional to 39.50, 54.50 and 23.12 is: 31.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.50 : 54.50 = 23.12 : x
  2. Step 2: Convert to fraction form
    39.50/54.50 = 23.12/x
  3. Step 3: Cross multiply
    39.50x = 54.50 × 23.12
  4. Step 4: Simplify right side
    39.50x = 1,259.65
  5. Step 5: Solve for x
    x = 1,259.65/39.50
  6. Step 6: Final answer
    x = 31.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.