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Finding the Fourth Proportional to 22, 32.82 and 21.46

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Solution

The fourth proportional to 22, 32.82 and 21.46 is: 32.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22 : 32.82 = 21.46 : x
  2. Step 2: Convert to fraction form
    22/32.82 = 21.46/x
  3. Step 3: Cross multiply
    22x = 32.82 × 21.46
  4. Step 4: Simplify right side
    22x = 704.32
  5. Step 5: Solve for x
    x = 704.32/22
  6. Step 6: Final answer
    x = 32.01

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Similar ratio
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1.5x scale

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.