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Finding the Fourth Proportional to 21.76, 30.08 and 21.60

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Solution

The fourth proportional to 21.76, 30.08 and 21.60 is: 29.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.76 : 30.08 = 21.60 : x
  2. Step 2: Convert to fraction form
    21.76/30.08 = 21.60/x
  3. Step 3: Cross multiply
    21.76x = 30.08 × 21.60
  4. Step 4: Simplify right side
    21.76x = 649.73
  5. Step 5: Solve for x
    x = 649.73/21.76
  6. Step 6: Final answer
    x = 29.86

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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.