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Finding the Fourth Proportional to 36.94, 51 and 23.84

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Solution

The fourth proportional to 36.94, 51 and 23.84 is: 32.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.94 : 51 = 23.84 : x
  2. Step 2: Convert to fraction form
    36.94/51 = 23.84/x
  3. Step 3: Cross multiply
    36.94x = 51 × 23.84
  4. Step 4: Simplify right side
    36.94x = 1,215.71
  5. Step 5: Solve for x
    x = 1,215.71/36.94
  6. Step 6: Final answer
    x = 32.91

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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.