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Finding the Fourth Proportional to 36.71, 55.05 and 16.40

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Solution

The fourth proportional to 36.71, 55.05 and 16.40 is: 24.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.71 : 55.05 = 16.40 : x
  2. Step 2: Convert to fraction form
    36.71/55.05 = 16.40/x
  3. Step 3: Cross multiply
    36.71x = 55.05 × 16.40
  4. Step 4: Simplify right side
    36.71x = 902.54
  5. Step 5: Solve for x
    x = 902.54/36.71
  6. Step 6: Final answer
    x = 24.59

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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.