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Finding the Fourth Proportional to 37.24, 50.93 and 37.12

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Solution

The fourth proportional to 37.24, 50.93 and 37.12 is: 50.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.24 : 50.93 = 37.12 : x
  2. Step 2: Convert to fraction form
    37.24/50.93 = 37.12/x
  3. Step 3: Cross multiply
    37.24x = 50.93 × 37.12
  4. Step 4: Simplify right side
    37.24x = 1,890.52
  5. Step 5: Solve for x
    x = 1,890.52/37.24
  6. Step 6: Final answer
    x = 50.77

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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.