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Finding the Fourth Proportional to 37.62, 52.16 and 37.05

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Solution

The fourth proportional to 37.62, 52.16 and 37.05 is: 51.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.62 : 52.16 = 37.05 : x
  2. Step 2: Convert to fraction form
    37.62/52.16 = 37.05/x
  3. Step 3: Cross multiply
    37.62x = 52.16 × 37.05
  4. Step 4: Simplify right side
    37.62x = 1,932.34
  5. Step 5: Solve for x
    x = 1,932.34/37.62
  6. Step 6: Final answer
    x = 51.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.