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Finding the Fourth Proportional to 37.94, 52.45 and 28.22

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Solution

The fourth proportional to 37.94, 52.45 and 28.22 is: 39.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.94 : 52.45 = 28.22 : x
  2. Step 2: Convert to fraction form
    37.94/52.45 = 28.22/x
  3. Step 3: Cross multiply
    37.94x = 52.45 × 28.22
  4. Step 4: Simplify right side
    37.94x = 1,479.81
  5. Step 5: Solve for x
    x = 1,479.81/37.94
  6. Step 6: Final answer
    x = 39.01

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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.