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Finding the Fourth Proportional to 28.34, 42.49 and 27.00

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Solution

The fourth proportional to 28.34, 42.49 and 27.00 is: 40.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 42.49 = 27.00 : x
  2. Step 2: Convert to fraction form
    28.34/42.49 = 27.00/x
  3. Step 3: Cross multiply
    28.34x = 42.49 × 27.00
  4. Step 4: Simplify right side
    28.34x = 1,147.13
  5. Step 5: Solve for x
    x = 1,147.13/28.34
  6. Step 6: Final answer
    x = 40.47

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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.