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Finding the Fourth Proportional to 27.14, 40.64 and 21.09

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Solution

The fourth proportional to 27.14, 40.64 and 21.09 is: 31.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.14 : 40.64 = 21.09 : x
  2. Step 2: Convert to fraction form
    27.14/40.64 = 21.09/x
  3. Step 3: Cross multiply
    27.14x = 40.64 × 21.09
  4. Step 4: Simplify right side
    27.14x = 857.14
  5. Step 5: Solve for x
    x = 857.14/27.14
  6. Step 6: Final answer
    x = 31.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.