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Finding the Fourth Proportional to 26.25, 39.58 and 20.97

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Solution

The fourth proportional to 26.25, 39.58 and 20.97 is: 31.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 39.58 = 20.97 : x
  2. Step 2: Convert to fraction form
    26.25/39.58 = 20.97/x
  3. Step 3: Cross multiply
    26.25x = 39.58 × 20.97
  4. Step 4: Simplify right side
    26.25x = 829.94
  5. Step 5: Solve for x
    x = 829.94/26.25
  6. Step 6: Final answer
    x = 31.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.