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Finding the Fourth Proportional to 27.09, 40.55 and 16.92

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Solution

The fourth proportional to 27.09, 40.55 and 16.92 is: 25.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.09 : 40.55 = 16.92 : x
  2. Step 2: Convert to fraction form
    27.09/40.55 = 16.92/x
  3. Step 3: Cross multiply
    27.09x = 40.55 × 16.92
  4. Step 4: Simplify right side
    27.09x = 686.02
  5. Step 5: Solve for x
    x = 686.02/27.09
  6. Step 6: Final answer
    x = 25.32

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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.