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Finding the Fourth Proportional to 37.38, 55.79 and 34.77

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Solution

The fourth proportional to 37.38, 55.79 and 34.77 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.38 : 55.79 = 34.77 : x
  2. Step 2: Convert to fraction form
    37.38/55.79 = 34.77/x
  3. Step 3: Cross multiply
    37.38x = 55.79 × 34.77
  4. Step 4: Simplify right side
    37.38x = 1,939.66
  5. Step 5: Solve for x
    x = 1,939.66/37.38
  6. Step 6: Final answer
    x = 51.89

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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.