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Finding the Fourth Proportional to 21.80, 29.82 and 21.76

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Solution

The fourth proportional to 21.80, 29.82 and 21.76 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.80 : 29.82 = 21.76 : x
  2. Step 2: Convert to fraction form
    21.80/29.82 = 21.76/x
  3. Step 3: Cross multiply
    21.80x = 29.82 × 21.76
  4. Step 4: Simplify right side
    21.80x = 648.88
  5. Step 5: Solve for x
    x = 648.88/21.80
  6. Step 6: Final answer
    x = 29.77

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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.