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Finding the Fourth Proportional to 22.34, 30.99 and 21.66

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Solution

The fourth proportional to 22.34, 30.99 and 21.66 is: 30.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.34 : 30.99 = 21.66 : x
  2. Step 2: Convert to fraction form
    22.34/30.99 = 21.66/x
  3. Step 3: Cross multiply
    22.34x = 30.99 × 21.66
  4. Step 4: Simplify right side
    22.34x = 671.24
  5. Step 5: Solve for x
    x = 671.24/22.34
  6. Step 6: Final answer
    x = 30.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.