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Finding the Fourth Proportional to 21.49, 29.65 and 13.29

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Solution

The fourth proportional to 21.49, 29.65 and 13.29 is: 18.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.49 : 29.65 = 13.29 : x
  2. Step 2: Convert to fraction form
    21.49/29.65 = 13.29/x
  3. Step 3: Cross multiply
    21.49x = 29.65 × 13.29
  4. Step 4: Simplify right side
    21.49x = 394.10
  5. Step 5: Solve for x
    x = 394.10/21.49
  6. Step 6: Final answer
    x = 18.34

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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.