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Finding the Fourth Proportional to 20.17, 27.84 and 12.40

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Solution

The fourth proportional to 20.17, 27.84 and 12.40 is: 17.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.17 : 27.84 = 12.40 : x
  2. Step 2: Convert to fraction form
    20.17/27.84 = 12.40/x
  3. Step 3: Cross multiply
    20.17x = 27.84 × 12.40
  4. Step 4: Simplify right side
    20.17x = 345.22
  5. Step 5: Solve for x
    x = 345.22/20.17
  6. Step 6: Final answer
    x = 17.12

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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.