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Finding the Fourth Proportional to 21.96, 30.29 and 21.35

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Solution

The fourth proportional to 21.96, 30.29 and 21.35 is: 29.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.96 : 30.29 = 21.35 : x
  2. Step 2: Convert to fraction form
    21.96/30.29 = 21.35/x
  3. Step 3: Cross multiply
    21.96x = 30.29 × 21.35
  4. Step 4: Simplify right side
    21.96x = 646.43
  5. Step 5: Solve for x
    x = 646.43/21.96
  6. Step 6: Final answer
    x = 29.44

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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.