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Finding the Fourth Proportional to 20.23, 27.87 and 17.17

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Solution

The fourth proportional to 20.23, 27.87 and 17.17 is: 23.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.23 : 27.87 = 17.17 : x
  2. Step 2: Convert to fraction form
    20.23/27.87 = 17.17/x
  3. Step 3: Cross multiply
    20.23x = 27.87 × 17.17
  4. Step 4: Simplify right side
    20.23x = 478.53
  5. Step 5: Solve for x
    x = 478.53/20.23
  6. Step 6: Final answer
    x = 23.65

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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.