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Finding the Fourth Proportional to 28.34, 39.14 and 21.11

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Solution

The fourth proportional to 28.34, 39.14 and 21.11 is: 29.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 39.14 = 21.11 : x
  2. Step 2: Convert to fraction form
    28.34/39.14 = 21.11/x
  3. Step 3: Cross multiply
    28.34x = 39.14 × 21.11
  4. Step 4: Simplify right side
    28.34x = 825.94
  5. Step 5: Solve for x
    x = 825.94/28.34
  6. Step 6: Final answer
    x = 29.15

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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.