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Finding the Fourth Proportional to 21.64, 29.82 and 21.62

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Solution

The fourth proportional to 21.64, 29.82 and 21.62 is: 29.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.64 : 29.82 = 21.62 : x
  2. Step 2: Convert to fraction form
    21.64/29.82 = 21.62/x
  3. Step 3: Cross multiply
    21.64x = 29.82 × 21.62
  4. Step 4: Simplify right side
    21.64x = 644.57
  5. Step 5: Solve for x
    x = 644.57/21.64
  6. Step 6: Final answer
    x = 29.78

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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.