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Finding the Fourth Proportional to 23.21, 32.02 and 13.50

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Solution

The fourth proportional to 23.21, 32.02 and 13.50 is: 18.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.21 : 32.02 = 13.50 : x
  2. Step 2: Convert to fraction form
    23.21/32.02 = 13.50/x
  3. Step 3: Cross multiply
    23.21x = 32.02 × 13.50
  4. Step 4: Simplify right side
    23.21x = 432.24
  5. Step 5: Solve for x
    x = 432.24/23.21
  6. Step 6: Final answer
    x = 18.62

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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.