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Finding the Fourth Proportional to 37.37, 51.56 and 22.80

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Solution

The fourth proportional to 37.37, 51.56 and 22.80 is: 31.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.37 : 51.56 = 22.80 : x
  2. Step 2: Convert to fraction form
    37.37/51.56 = 22.80/x
  3. Step 3: Cross multiply
    37.37x = 51.56 × 22.80
  4. Step 4: Simplify right side
    37.37x = 1,175.45
  5. Step 5: Solve for x
    x = 1,175.45/37.37
  6. Step 6: Final answer
    x = 31.46

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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.