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Finding the Fourth Proportional to 16.02, 21.80 and 16.02

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Solution

The fourth proportional to 16.02, 21.80 and 16.02 is: 21.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 21.80 = 16.02 : x
  2. Step 2: Convert to fraction form
    16.02/21.80 = 16.02/x
  3. Step 3: Cross multiply
    16.02x = 21.80 × 16.02
  4. Step 4: Simplify right side
    16.02x = 349.24
  5. Step 5: Solve for x
    x = 349.24/16.02
  6. Step 6: Final answer
    x = 21.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.