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Finding the Fourth Proportional to 16.02, 22.10 and 9.80

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Solution

The fourth proportional to 16.02, 22.10 and 9.80 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 22.10 = 9.80 : x
  2. Step 2: Convert to fraction form
    16.02/22.10 = 9.80/x
  3. Step 3: Cross multiply
    16.02x = 22.10 × 9.80
  4. Step 4: Simplify right side
    16.02x = 216.47
  5. Step 5: Solve for x
    x = 216.47/16.02
  6. Step 6: Final answer
    x = 13.51

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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.