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Finding the Fourth Proportional to 31.84, 43.97 and 23.54

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Solution

The fourth proportional to 31.84, 43.97 and 23.54 is: 32.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.84 : 43.97 = 23.54 : x
  2. Step 2: Convert to fraction form
    31.84/43.97 = 23.54/x
  3. Step 3: Cross multiply
    31.84x = 43.97 × 23.54
  4. Step 4: Simplify right side
    31.84x = 1,034.72
  5. Step 5: Solve for x
    x = 1,034.72/31.84
  6. Step 6: Final answer
    x = 32.50

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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.