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Finding the Fourth Proportional to 37.82, 57.14 and 37.50

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Solution

The fourth proportional to 37.82, 57.14 and 37.50 is: 56.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.82 : 57.14 = 37.50 : x
  2. Step 2: Convert to fraction form
    37.82/57.14 = 37.50/x
  3. Step 3: Cross multiply
    37.82x = 57.14 × 37.50
  4. Step 4: Simplify right side
    37.82x = 2,142.75
  5. Step 5: Solve for x
    x = 2,142.75/37.82
  6. Step 6: Final answer
    x = 56.66

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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.