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Finding the Fourth Proportional to 36.73, 55.08 and 19.61

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Solution

The fourth proportional to 36.73, 55.08 and 19.61 is: 29.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.73 : 55.08 = 19.61 : x
  2. Step 2: Convert to fraction form
    36.73/55.08 = 19.61/x
  3. Step 3: Cross multiply
    36.73x = 55.08 × 19.61
  4. Step 4: Simplify right side
    36.73x = 1,079.84
  5. Step 5: Solve for x
    x = 1,079.84/36.73
  6. Step 6: Final answer
    x = 29.40

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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.