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Finding the Fourth Proportional to 12.24, 18.35 and 5.11

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Solution

The fourth proportional to 12.24, 18.35 and 5.11 is: 7.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.24 : 18.35 = 5.11 : x
  2. Step 2: Convert to fraction form
    12.24/18.35 = 5.11/x
  3. Step 3: Cross multiply
    12.24x = 18.35 × 5.11
  4. Step 4: Simplify right side
    12.24x = 93.78
  5. Step 5: Solve for x
    x = 93.78/12.24
  6. Step 6: Final answer
    x = 7.67

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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.