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Finding the Fourth Proportional to 36.75, 55.07 and 16.45

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Solution

The fourth proportional to 36.75, 55.07 and 16.45 is: 24.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.75 : 55.07 = 16.45 : x
  2. Step 2: Convert to fraction form
    36.75/55.07 = 16.45/x
  3. Step 3: Cross multiply
    36.75x = 55.07 × 16.45
  4. Step 4: Simplify right side
    36.75x = 905.82
  5. Step 5: Solve for x
    x = 905.82/36.75
  6. Step 6: Final answer
    x = 24.65

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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.