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Finding the Fourth Proportional to 20.00, 27.54 and 14.15

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Solution

The fourth proportional to 20.00, 27.54 and 14.15 is: 19.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.00 : 27.54 = 14.15 : x
  2. Step 2: Convert to fraction form
    20.00/27.54 = 14.15/x
  3. Step 3: Cross multiply
    20.00x = 27.54 × 14.15
  4. Step 4: Simplify right side
    20.00x = 389.55
  5. Step 5: Solve for x
    x = 389.55/20.00
  6. Step 6: Final answer
    x = 19.48

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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.