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Finding the Fourth Proportional to 21.19, 31.80 and 7.67

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Solution

The fourth proportional to 21.19, 31.80 and 7.67 is: 11.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.19 : 31.80 = 7.67 : x
  2. Step 2: Convert to fraction form
    21.19/31.80 = 7.67/x
  3. Step 3: Cross multiply
    21.19x = 31.80 × 7.67
  4. Step 4: Simplify right side
    21.19x = 243.91
  5. Step 5: Solve for x
    x = 243.91/21.19
  6. Step 6: Final answer
    x = 11.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.