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Finding the Fourth Proportional to 16.62, 22.96 and 11.16

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Solution

The fourth proportional to 16.62, 22.96 and 11.16 is: 15.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.62 : 22.96 = 11.16 : x
  2. Step 2: Convert to fraction form
    16.62/22.96 = 11.16/x
  3. Step 3: Cross multiply
    16.62x = 22.96 × 11.16
  4. Step 4: Simplify right side
    16.62x = 256.23
  5. Step 5: Solve for x
    x = 256.23/16.62
  6. Step 6: Final answer
    x = 15.42

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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.