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Finding the Fourth Proportional to 27.34, 40.93 and 13.78

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Solution

The fourth proportional to 27.34, 40.93 and 13.78 is: 20.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.34 : 40.93 = 13.78 : x
  2. Step 2: Convert to fraction form
    27.34/40.93 = 13.78/x
  3. Step 3: Cross multiply
    27.34x = 40.93 × 13.78
  4. Step 4: Simplify right side
    27.34x = 564.13
  5. Step 5: Solve for x
    x = 564.13/27.34
  6. Step 6: Final answer
    x = 20.64

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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.