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Finding the Fourth Proportional to 26.25, 39.31 and 19.47

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Solution

The fourth proportional to 26.25, 39.31 and 19.47 is: 29.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 39.31 = 19.47 : x
  2. Step 2: Convert to fraction form
    26.25/39.31 = 19.47/x
  3. Step 3: Cross multiply
    26.25x = 39.31 × 19.47
  4. Step 4: Simplify right side
    26.25x = 765.37
  5. Step 5: Solve for x
    x = 765.37/26.25
  6. Step 6: Final answer
    x = 29.16

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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.