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Finding the Fourth Proportional to 14.89, 20.60 and 14.33

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Solution

The fourth proportional to 14.89, 20.60 and 14.33 is: 19.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.89 : 20.60 = 14.33 : x
  2. Step 2: Convert to fraction form
    14.89/20.60 = 14.33/x
  3. Step 3: Cross multiply
    14.89x = 20.60 × 14.33
  4. Step 4: Simplify right side
    14.89x = 295.02
  5. Step 5: Solve for x
    x = 295.02/14.89
  6. Step 6: Final answer
    x = 19.82

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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.