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Finding the Fourth Proportional to 37.54, 56.22 and 37.00

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Solution

The fourth proportional to 37.54, 56.22 and 37.00 is: 55.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.54 : 56.22 = 37.00 : x
  2. Step 2: Convert to fraction form
    37.54/56.22 = 37.00/x
  3. Step 3: Cross multiply
    37.54x = 56.22 × 37.00
  4. Step 4: Simplify right side
    37.54x = 2,080.00
  5. Step 5: Solve for x
    x = 2,080.00/37.54
  6. Step 6: Final answer
    x = 55.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.