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Finding the Fourth Proportional to 37.27, 55.57 and 34.94

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Solution

The fourth proportional to 37.27, 55.57 and 34.94 is: 52.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.27 : 55.57 = 34.94 : x
  2. Step 2: Convert to fraction form
    37.27/55.57 = 34.94/x
  3. Step 3: Cross multiply
    37.27x = 55.57 × 34.94
  4. Step 4: Simplify right side
    37.27x = 1,941.62
  5. Step 5: Solve for x
    x = 1,941.62/37.27
  6. Step 6: Final answer
    x = 52.10

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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.