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Finding the Fourth Proportional to 18.16, 27.12 and 13.84

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Solution

The fourth proportional to 18.16, 27.12 and 13.84 is: 20.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.16 : 27.12 = 13.84 : x
  2. Step 2: Convert to fraction form
    18.16/27.12 = 13.84/x
  3. Step 3: Cross multiply
    18.16x = 27.12 × 13.84
  4. Step 4: Simplify right side
    18.16x = 375.34
  5. Step 5: Solve for x
    x = 375.34/18.16
  6. Step 6: Final answer
    x = 20.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.