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Finding the Fourth Proportional to 16.64, 22.82 and 16.13

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Solution

The fourth proportional to 16.64, 22.82 and 16.13 is: 22.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.64 : 22.82 = 16.13 : x
  2. Step 2: Convert to fraction form
    16.64/22.82 = 16.13/x
  3. Step 3: Cross multiply
    16.64x = 22.82 × 16.13
  4. Step 4: Simplify right side
    16.64x = 368.06
  5. Step 5: Solve for x
    x = 368.06/16.64
  6. Step 6: Final answer
    x = 22.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.