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Finding the Fourth Proportional to 26.77, 40.13 and 16.63

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Solution

The fourth proportional to 26.77, 40.13 and 16.63 is: 24.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.77 : 40.13 = 16.63 : x
  2. Step 2: Convert to fraction form
    26.77/40.13 = 16.63/x
  3. Step 3: Cross multiply
    26.77x = 40.13 × 16.63
  4. Step 4: Simplify right side
    26.77x = 667.18
  5. Step 5: Solve for x
    x = 667.18/26.77
  6. Step 6: Final answer
    x = 24.92

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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.