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Finding the Fourth Proportional to 26.71, 40.07 and 16.59

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Solution

The fourth proportional to 26.71, 40.07 and 16.59 is: 24.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.71 : 40.07 = 16.59 : x
  2. Step 2: Convert to fraction form
    26.71/40.07 = 16.59/x
  3. Step 3: Cross multiply
    26.71x = 40.07 × 16.59
  4. Step 4: Simplify right side
    26.71x = 664.76
  5. Step 5: Solve for x
    x = 664.76/26.71
  6. Step 6: Final answer
    x = 24.89

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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.