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Finding the Fourth Proportional to 21.97, 30.35 and 21.34

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Solution

The fourth proportional to 21.97, 30.35 and 21.34 is: 29.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 30.35 = 21.34 : x
  2. Step 2: Convert to fraction form
    21.97/30.35 = 21.34/x
  3. Step 3: Cross multiply
    21.97x = 30.35 × 21.34
  4. Step 4: Simplify right side
    21.97x = 647.41
  5. Step 5: Solve for x
    x = 647.41/21.97
  6. Step 6: Final answer
    x = 29.47

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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.