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Finding the Fourth Proportional to 22.46, 30.80 and 21.32

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Solution

The fourth proportional to 22.46, 30.80 and 21.32 is: 29.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 30.80 = 21.32 : x
  2. Step 2: Convert to fraction form
    22.46/30.80 = 21.32/x
  3. Step 3: Cross multiply
    22.46x = 30.80 × 21.32
  4. Step 4: Simplify right side
    22.46x = 656.66
  5. Step 5: Solve for x
    x = 656.66/22.46
  6. Step 6: Final answer
    x = 29.24

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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.