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Finding the Fourth Proportional to 27.21, 40.77 and 16.93

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Solution

The fourth proportional to 27.21, 40.77 and 16.93 is: 25.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.21 : 40.77 = 16.93 : x
  2. Step 2: Convert to fraction form
    27.21/40.77 = 16.93/x
  3. Step 3: Cross multiply
    27.21x = 40.77 × 16.93
  4. Step 4: Simplify right side
    27.21x = 690.15
  5. Step 5: Solve for x
    x = 690.15/27.21
  6. Step 6: Final answer
    x = 25.36

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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.