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Finding the Fourth Proportional to 39.96, 54.77 and 39.65

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Solution

The fourth proportional to 39.96, 54.77 and 39.65 is: 54.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.96 : 54.77 = 39.65 : x
  2. Step 2: Convert to fraction form
    39.96/54.77 = 39.65/x
  3. Step 3: Cross multiply
    39.96x = 54.77 × 39.65
  4. Step 4: Simplify right side
    39.96x = 2,171.16
  5. Step 5: Solve for x
    x = 2,171.16/39.96
  6. Step 6: Final answer
    x = 54.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.