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Finding the Fourth Proportional to 37.23, 51.39 and 24.12

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Solution

The fourth proportional to 37.23, 51.39 and 24.12 is: 33.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.23 : 51.39 = 24.12 : x
  2. Step 2: Convert to fraction form
    37.23/51.39 = 24.12/x
  3. Step 3: Cross multiply
    37.23x = 51.39 × 24.12
  4. Step 4: Simplify right side
    37.23x = 1,239.53
  5. Step 5: Solve for x
    x = 1,239.53/37.23
  6. Step 6: Final answer
    x = 33.29

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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.