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Finding the Fourth Proportional to 73.56, 110.20 and 37.52

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Solution

The fourth proportional to 73.56, 110.20 and 37.52 is: 56.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.56 : 110.20 = 37.52 : x
  2. Step 2: Convert to fraction form
    73.56/110.20 = 37.52/x
  3. Step 3: Cross multiply
    73.56x = 110.20 × 37.52
  4. Step 4: Simplify right side
    73.56x = 4,134.70
  5. Step 5: Solve for x
    x = 4,134.70/73.56
  6. Step 6: Final answer
    x = 56.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.