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Finding the Fourth Proportional to 37.55, 56.00 and 34.11

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Solution

The fourth proportional to 37.55, 56.00 and 34.11 is: 50.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.55 : 56.00 = 34.11 : x
  2. Step 2: Convert to fraction form
    37.55/56.00 = 34.11/x
  3. Step 3: Cross multiply
    37.55x = 56.00 × 34.11
  4. Step 4: Simplify right side
    37.55x = 1,910.25
  5. Step 5: Solve for x
    x = 1,910.25/37.55
  6. Step 6: Final answer
    x = 50.87

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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.