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Finding the Fourth Proportional to 22.80, 33.99 and 20.90

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Solution

The fourth proportional to 22.80, 33.99 and 20.90 is: 31.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.80 : 33.99 = 20.90 : x
  2. Step 2: Convert to fraction form
    22.80/33.99 = 20.90/x
  3. Step 3: Cross multiply
    22.80x = 33.99 × 20.90
  4. Step 4: Simplify right side
    22.80x = 710.39
  5. Step 5: Solve for x
    x = 710.39/22.80
  6. Step 6: Final answer
    x = 31.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.