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Finding the Fourth Proportional to 37.84, 52.08 and 33.23

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Solution

The fourth proportional to 37.84, 52.08 and 33.23 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 52.08 = 33.23 : x
  2. Step 2: Convert to fraction form
    37.84/52.08 = 33.23/x
  3. Step 3: Cross multiply
    37.84x = 52.08 × 33.23
  4. Step 4: Simplify right side
    37.84x = 1,730.62
  5. Step 5: Solve for x
    x = 1,730.62/37.84
  6. Step 6: Final answer
    x = 45.74

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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.