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Finding the Fourth Proportional to 37.55, 55.91 and 36.60

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Solution

The fourth proportional to 37.55, 55.91 and 36.60 is: 54.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.55 : 55.91 = 36.60 : x
  2. Step 2: Convert to fraction form
    37.55/55.91 = 36.60/x
  3. Step 3: Cross multiply
    37.55x = 55.91 × 36.60
  4. Step 4: Simplify right side
    37.55x = 2,046.40
  5. Step 5: Solve for x
    x = 2,046.40/37.55
  6. Step 6: Final answer
    x = 54.51

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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.