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Finding the Fourth Proportional to 37, 51.06 and 27.80

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Solution

The fourth proportional to 37, 51.06 and 27.80 is: 38.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 51.06 = 27.80 : x
  2. Step 2: Convert to fraction form
    37/51.06 = 27.80/x
  3. Step 3: Cross multiply
    37x = 51.06 × 27.80
  4. Step 4: Simplify right side
    37x = 1,419.47
  5. Step 5: Solve for x
    x = 1,419.47/37
  6. Step 6: Final answer
    x = 38.36

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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.