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Finding the Fourth Proportional to 27.60, 38.07 and 17.23

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Solution

The fourth proportional to 27.60, 38.07 and 17.23 is: 23.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.60 : 38.07 = 17.23 : x
  2. Step 2: Convert to fraction form
    27.60/38.07 = 17.23/x
  3. Step 3: Cross multiply
    27.60x = 38.07 × 17.23
  4. Step 4: Simplify right side
    27.60x = 655.95
  5. Step 5: Solve for x
    x = 655.95/27.60
  6. Step 6: Final answer
    x = 23.77

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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.