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Finding the Fourth Proportional to 37.98, 56.52 and 37.56

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Solution

The fourth proportional to 37.98, 56.52 and 37.56 is: 55.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.98 : 56.52 = 37.56 : x
  2. Step 2: Convert to fraction form
    37.98/56.52 = 37.56/x
  3. Step 3: Cross multiply
    37.98x = 56.52 × 37.56
  4. Step 4: Simplify right side
    37.98x = 2,122.89
  5. Step 5: Solve for x
    x = 2,122.89/37.98
  6. Step 6: Final answer
    x = 55.89

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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.