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Finding the Fourth Proportional to 23.09, 34.47 and 21.20

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Solution

The fourth proportional to 23.09, 34.47 and 21.20 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 34.47 = 21.20 : x
  2. Step 2: Convert to fraction form
    23.09/34.47 = 21.20/x
  3. Step 3: Cross multiply
    23.09x = 34.47 × 21.20
  4. Step 4: Simplify right side
    23.09x = 730.59
  5. Step 5: Solve for x
    x = 730.59/23.09
  6. Step 6: Final answer
    x = 31.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.