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Finding the Fourth Proportional to 36.93, 55.21 and 28.38

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Solution

The fourth proportional to 36.93, 55.21 and 28.38 is: 42.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.93 : 55.21 = 28.38 : x
  2. Step 2: Convert to fraction form
    36.93/55.21 = 28.38/x
  3. Step 3: Cross multiply
    36.93x = 55.21 × 28.38
  4. Step 4: Simplify right side
    36.93x = 1,566.86
  5. Step 5: Solve for x
    x = 1,566.86/36.93
  6. Step 6: Final answer
    x = 42.43

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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.