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Finding the Fourth Proportional to 23.27, 32.13 and 16.39

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Solution

The fourth proportional to 23.27, 32.13 and 16.39 is: 22.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.27 : 32.13 = 16.39 : x
  2. Step 2: Convert to fraction form
    23.27/32.13 = 16.39/x
  3. Step 3: Cross multiply
    23.27x = 32.13 × 16.39
  4. Step 4: Simplify right side
    23.27x = 526.37
  5. Step 5: Solve for x
    x = 526.37/23.27
  6. Step 6: Final answer
    x = 22.62

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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.