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Finding the Fourth Proportional to 26.51, 39.77 and 20.43

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Solution

The fourth proportional to 26.51, 39.77 and 20.43 is: 30.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.51 : 39.77 = 20.43 : x
  2. Step 2: Convert to fraction form
    26.51/39.77 = 20.43/x
  3. Step 3: Cross multiply
    26.51x = 39.77 × 20.43
  4. Step 4: Simplify right side
    26.51x = 812.55
  5. Step 5: Solve for x
    x = 812.55/26.51
  6. Step 6: Final answer
    x = 30.65

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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.