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Finding the Fourth Proportional to 26.26, 39.31 and 16.07

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Solution

The fourth proportional to 26.26, 39.31 and 16.07 is: 24.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.26 : 39.31 = 16.07 : x
  2. Step 2: Convert to fraction form
    26.26/39.31 = 16.07/x
  3. Step 3: Cross multiply
    26.26x = 39.31 × 16.07
  4. Step 4: Simplify right side
    26.26x = 631.47
  5. Step 5: Solve for x
    x = 631.47/26.26
  6. Step 6: Final answer
    x = 24.05

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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.