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Finding the Fourth Proportional to 16, 22.08 and 9.09

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Solution

The fourth proportional to 16, 22.08 and 9.09 is: 12.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 22.08 = 9.09 : x
  2. Step 2: Convert to fraction form
    16/22.08 = 9.09/x
  3. Step 3: Cross multiply
    16x = 22.08 × 9.09
  4. Step 4: Simplify right side
    16x = 200.71
  5. Step 5: Solve for x
    x = 200.71/16
  6. Step 6: Final answer
    x = 12.54

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1.5x scale

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.