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Finding the Fourth Proportional to 37.87, 52.32 and 36.50

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Solution

The fourth proportional to 37.87, 52.32 and 36.50 is: 50.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.87 : 52.32 = 36.50 : x
  2. Step 2: Convert to fraction form
    37.87/52.32 = 36.50/x
  3. Step 3: Cross multiply
    37.87x = 52.32 × 36.50
  4. Step 4: Simplify right side
    37.87x = 1,909.75
  5. Step 5: Solve for x
    x = 1,909.75/37.87
  6. Step 6: Final answer
    x = 50.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.