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Finding the Fourth Proportional to 22, 30.35 and 14.23

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Solution

The fourth proportional to 22, 30.35 and 14.23 is: 19.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22 : 30.35 = 14.23 : x
  2. Step 2: Convert to fraction form
    22/30.35 = 14.23/x
  3. Step 3: Cross multiply
    22x = 30.35 × 14.23
  4. Step 4: Simplify right side
    22x = 431.88
  5. Step 5: Solve for x
    x = 431.88/22
  6. Step 6: Final answer
    x = 19.63

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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.