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Finding the Fourth Proportional to 23.07, 31.83 and 13.23

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Solution

The fourth proportional to 23.07, 31.83 and 13.23 is: 18.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.07 : 31.83 = 13.23 : x
  2. Step 2: Convert to fraction form
    23.07/31.83 = 13.23/x
  3. Step 3: Cross multiply
    23.07x = 31.83 × 13.23
  4. Step 4: Simplify right side
    23.07x = 421.11
  5. Step 5: Solve for x
    x = 421.11/23.07
  6. Step 6: Final answer
    x = 18.26

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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.