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Finding the Fourth Proportional to 37.84, 52.23 and 23.29

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Solution

The fourth proportional to 37.84, 52.23 and 23.29 is: 32.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 52.23 = 23.29 : x
  2. Step 2: Convert to fraction form
    37.84/52.23 = 23.29/x
  3. Step 3: Cross multiply
    37.84x = 52.23 × 23.29
  4. Step 4: Simplify right side
    37.84x = 1,216.44
  5. Step 5: Solve for x
    x = 1,216.44/37.84
  6. Step 6: Final answer
    x = 32.15

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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.