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Finding the Fourth Proportional to 22.12, 30.53 and 13.82

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Solution

The fourth proportional to 22.12, 30.53 and 13.82 is: 19.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.12 : 30.53 = 13.82 : x
  2. Step 2: Convert to fraction form
    22.12/30.53 = 13.82/x
  3. Step 3: Cross multiply
    22.12x = 30.53 × 13.82
  4. Step 4: Simplify right side
    22.12x = 421.90
  5. Step 5: Solve for x
    x = 421.90/22.12
  6. Step 6: Final answer
    x = 19.07

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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.