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Finding the Fourth Proportional to 75.57, 113.27 and 37.05

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Solution

The fourth proportional to 75.57, 113.27 and 37.05 is: 55.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.57 : 113.27 = 37.05 : x
  2. Step 2: Convert to fraction form
    75.57/113.27 = 37.05/x
  3. Step 3: Cross multiply
    75.57x = 113.27 × 37.05
  4. Step 4: Simplify right side
    75.57x = 4,196.65
  5. Step 5: Solve for x
    x = 4,196.65/75.57
  6. Step 6: Final answer
    x = 55.53

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Why These Related Problems?

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