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Finding the Fourth Proportional to 23.08, 31.71 and 19.84

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Solution

The fourth proportional to 23.08, 31.71 and 19.84 is: 27.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 31.71 = 19.84 : x
  2. Step 2: Convert to fraction form
    23.08/31.71 = 19.84/x
  3. Step 3: Cross multiply
    23.08x = 31.71 × 19.84
  4. Step 4: Simplify right side
    23.08x = 629.13
  5. Step 5: Solve for x
    x = 629.13/23.08
  6. Step 6: Final answer
    x = 27.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.