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Finding the Fourth Proportional to 36.95, 55.42 and 16.65

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Solution

The fourth proportional to 36.95, 55.42 and 16.65 is: 24.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.95 : 55.42 = 16.65 : x
  2. Step 2: Convert to fraction form
    36.95/55.42 = 16.65/x
  3. Step 3: Cross multiply
    36.95x = 55.42 × 16.65
  4. Step 4: Simplify right side
    36.95x = 922.38
  5. Step 5: Solve for x
    x = 922.38/36.95
  6. Step 6: Final answer
    x = 24.97

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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.