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Finding the Fourth Proportional to 37.33, 51.37 and 31.19

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Solution

The fourth proportional to 37.33, 51.37 and 31.19 is: 42.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.33 : 51.37 = 31.19 : x
  2. Step 2: Convert to fraction form
    37.33/51.37 = 31.19/x
  3. Step 3: Cross multiply
    37.33x = 51.37 × 31.19
  4. Step 4: Simplify right side
    37.33x = 1,601.90
  5. Step 5: Solve for x
    x = 1,601.90/37.33
  6. Step 6: Final answer
    x = 42.91

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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.