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Finding the Fourth Proportional to 37.09, 55.64 and 19.97

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Solution

The fourth proportional to 37.09, 55.64 and 19.97 is: 29.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.09 : 55.64 = 19.97 : x
  2. Step 2: Convert to fraction form
    37.09/55.64 = 19.97/x
  3. Step 3: Cross multiply
    37.09x = 55.64 × 19.97
  4. Step 4: Simplify right side
    37.09x = 1,111.13
  5. Step 5: Solve for x
    x = 1,111.13/37.09
  6. Step 6: Final answer
    x = 29.96

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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.