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Finding the Fourth Proportional to 14.02, 20.75 and 14.02

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Solution

The fourth proportional to 14.02, 20.75 and 14.02 is: 20.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.02 : 20.75 = 14.02 : x
  2. Step 2: Convert to fraction form
    14.02/20.75 = 14.02/x
  3. Step 3: Cross multiply
    14.02x = 20.75 × 14.02
  4. Step 4: Simplify right side
    14.02x = 290.92
  5. Step 5: Solve for x
    x = 290.92/14.02
  6. Step 6: Final answer
    x = 20.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.