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Finding the Fourth Proportional to 24.45, 33.74 and 13.53

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Solution

The fourth proportional to 24.45, 33.74 and 13.53 is: 18.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.45 : 33.74 = 13.53 : x
  2. Step 2: Convert to fraction form
    24.45/33.74 = 13.53/x
  3. Step 3: Cross multiply
    24.45x = 33.74 × 13.53
  4. Step 4: Simplify right side
    24.45x = 456.59
  5. Step 5: Solve for x
    x = 456.59/24.45
  6. Step 6: Final answer
    x = 18.67

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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.