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Finding the Fourth Proportional to 23.24, 32.08 and 13.54

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Solution

The fourth proportional to 23.24, 32.08 and 13.54 is: 18.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.24 : 32.08 = 13.54 : x
  2. Step 2: Convert to fraction form
    23.24/32.08 = 13.54/x
  3. Step 3: Cross multiply
    23.24x = 32.08 × 13.54
  4. Step 4: Simplify right side
    23.24x = 434.36
  5. Step 5: Solve for x
    x = 434.36/23.24
  6. Step 6: Final answer
    x = 18.69

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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.