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Finding the Fourth Proportional to 39.61, 54.29 and 37.65

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Solution

The fourth proportional to 39.61, 54.29 and 37.65 is: 51.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.61 : 54.29 = 37.65 : x
  2. Step 2: Convert to fraction form
    39.61/54.29 = 37.65/x
  3. Step 3: Cross multiply
    39.61x = 54.29 × 37.65
  4. Step 4: Simplify right side
    39.61x = 2,043.98
  5. Step 5: Solve for x
    x = 2,043.98/39.61
  6. Step 6: Final answer
    x = 51.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.