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Finding the Fourth Proportional to 23.09, 31.86 and 14.34

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Solution

The fourth proportional to 23.09, 31.86 and 14.34 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 31.86 = 14.34 : x
  2. Step 2: Convert to fraction form
    23.09/31.86 = 14.34/x
  3. Step 3: Cross multiply
    23.09x = 31.86 × 14.34
  4. Step 4: Simplify right side
    23.09x = 456.99
  5. Step 5: Solve for x
    x = 456.99/23.09
  6. Step 6: Final answer
    x = 19.80

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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.