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Finding the Fourth Proportional to 37.89, 51.95 and 36.52

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Solution

The fourth proportional to 37.89, 51.95 and 36.52 is: 50.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.89 : 51.95 = 36.52 : x
  2. Step 2: Convert to fraction form
    37.89/51.95 = 36.52/x
  3. Step 3: Cross multiply
    37.89x = 51.95 × 36.52
  4. Step 4: Simplify right side
    37.89x = 1,897.21
  5. Step 5: Solve for x
    x = 1,897.21/37.89
  6. Step 6: Final answer
    x = 50.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.