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Finding the Fourth Proportional to 37.84, 56.48 and 37.12

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Solution

The fourth proportional to 37.84, 56.48 and 37.12 is: 55.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 56.48 = 37.12 : x
  2. Step 2: Convert to fraction form
    37.84/56.48 = 37.12/x
  3. Step 3: Cross multiply
    37.84x = 56.48 × 37.12
  4. Step 4: Simplify right side
    37.84x = 2,096.54
  5. Step 5: Solve for x
    x = 2,096.54/37.84
  6. Step 6: Final answer
    x = 55.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.