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Finding the Fourth Proportional to 37.81, 56.99 and 36.55

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Solution

The fourth proportional to 37.81, 56.99 and 36.55 is: 55.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.81 : 56.99 = 36.55 : x
  2. Step 2: Convert to fraction form
    37.81/56.99 = 36.55/x
  3. Step 3: Cross multiply
    37.81x = 56.99 × 36.55
  4. Step 4: Simplify right side
    37.81x = 2,082.98
  5. Step 5: Solve for x
    x = 2,082.98/37.81
  6. Step 6: Final answer
    x = 55.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.