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Finding the Fourth Proportional to 26.25, 36.24 and 19.77

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Solution

The fourth proportional to 26.25, 36.24 and 19.77 is: 27.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 36.24 = 19.77 : x
  2. Step 2: Convert to fraction form
    26.25/36.24 = 19.77/x
  3. Step 3: Cross multiply
    26.25x = 36.24 × 19.77
  4. Step 4: Simplify right side
    26.25x = 716.46
  5. Step 5: Solve for x
    x = 716.46/26.25
  6. Step 6: Final answer
    x = 27.29

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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.