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Finding the Fourth Proportional to 37.45, 55.94 and 29.82

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Solution

The fourth proportional to 37.45, 55.94 and 29.82 is: 44.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.45 : 55.94 = 29.82 : x
  2. Step 2: Convert to fraction form
    37.45/55.94 = 29.82/x
  3. Step 3: Cross multiply
    37.45x = 55.94 × 29.82
  4. Step 4: Simplify right side
    37.45x = 1,668.13
  5. Step 5: Solve for x
    x = 1,668.13/37.45
  6. Step 6: Final answer
    x = 44.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.