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Finding the Fourth Proportional to 28.34, 39.09 and 21.07

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Solution

The fourth proportional to 28.34, 39.09 and 21.07 is: 29.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 39.09 = 21.07 : x
  2. Step 2: Convert to fraction form
    28.34/39.09 = 21.07/x
  3. Step 3: Cross multiply
    28.34x = 39.09 × 21.07
  4. Step 4: Simplify right side
    28.34x = 823.63
  5. Step 5: Solve for x
    x = 823.63/28.34
  6. Step 6: Final answer
    x = 29.06

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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.