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Finding the Fourth Proportional to 22.02, 30.40 and 13.84

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Solution

The fourth proportional to 22.02, 30.40 and 13.84 is: 19.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.02 : 30.40 = 13.84 : x
  2. Step 2: Convert to fraction form
    22.02/30.40 = 13.84/x
  3. Step 3: Cross multiply
    22.02x = 30.40 × 13.84
  4. Step 4: Simplify right side
    22.02x = 420.74
  5. Step 5: Solve for x
    x = 420.74/22.02
  6. Step 6: Final answer
    x = 19.11

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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.