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Finding the Fourth Proportional to 23.30, 32.16 and 12.80

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Solution

The fourth proportional to 23.30, 32.16 and 12.80 is: 17.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.30 : 32.16 = 12.80 : x
  2. Step 2: Convert to fraction form
    23.30/32.16 = 12.80/x
  3. Step 3: Cross multiply
    23.30x = 32.16 × 12.80
  4. Step 4: Simplify right side
    23.30x = 411.65
  5. Step 5: Solve for x
    x = 411.65/23.30
  6. Step 6: Final answer
    x = 17.67

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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.