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Finding the Fourth Proportional to 59.26, 81.76 and 37.44

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Solution

The fourth proportional to 59.26, 81.76 and 37.44 is: 51.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.26 : 81.76 = 37.44 : x
  2. Step 2: Convert to fraction form
    59.26/81.76 = 37.44/x
  3. Step 3: Cross multiply
    59.26x = 81.76 × 37.44
  4. Step 4: Simplify right side
    59.26x = 3,061.09
  5. Step 5: Solve for x
    x = 3,061.09/59.26
  6. Step 6: Final answer
    x = 51.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.