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Finding the Fourth Proportional to 37.76, 52.12 and 37.28

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Solution

The fourth proportional to 37.76, 52.12 and 37.28 is: 51.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.76 : 52.12 = 37.28 : x
  2. Step 2: Convert to fraction form
    37.76/52.12 = 37.28/x
  3. Step 3: Cross multiply
    37.76x = 52.12 × 37.28
  4. Step 4: Simplify right side
    37.76x = 1,943.03
  5. Step 5: Solve for x
    x = 1,943.03/37.76
  6. Step 6: Final answer
    x = 51.46

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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.