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Finding the Fourth Proportional to 37.46, 51.67 and 24.50

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Solution

The fourth proportional to 37.46, 51.67 and 24.50 is: 33.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.46 : 51.67 = 24.50 : x
  2. Step 2: Convert to fraction form
    37.46/51.67 = 24.50/x
  3. Step 3: Cross multiply
    37.46x = 51.67 × 24.50
  4. Step 4: Simplify right side
    37.46x = 1,265.92
  5. Step 5: Solve for x
    x = 1,265.92/37.46
  6. Step 6: Final answer
    x = 33.79

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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.