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Finding the Fourth Proportional to 23.34, 32.21 and 13.50

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Solution

The fourth proportional to 23.34, 32.21 and 13.50 is: 18.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.34 : 32.21 = 13.50 : x
  2. Step 2: Convert to fraction form
    23.34/32.21 = 13.50/x
  3. Step 3: Cross multiply
    23.34x = 32.21 × 13.50
  4. Step 4: Simplify right side
    23.34x = 434.92
  5. Step 5: Solve for x
    x = 434.92/23.34
  6. Step 6: Final answer
    x = 18.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.