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Finding the Fourth Proportional to 37.45, 51.74 and 32.05

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Solution

The fourth proportional to 37.45, 51.74 and 32.05 is: 44.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.45 : 51.74 = 32.05 : x
  2. Step 2: Convert to fraction form
    37.45/51.74 = 32.05/x
  3. Step 3: Cross multiply
    37.45x = 51.74 × 32.05
  4. Step 4: Simplify right side
    37.45x = 1,658.27
  5. Step 5: Solve for x
    x = 1,658.27/37.45
  6. Step 6: Final answer
    x = 44.28

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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.