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Finding the Fourth Proportional to 37.26, 55.76 and 34.54

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Solution

The fourth proportional to 37.26, 55.76 and 34.54 is: 51.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.26 : 55.76 = 34.54 : x
  2. Step 2: Convert to fraction form
    37.26/55.76 = 34.54/x
  3. Step 3: Cross multiply
    37.26x = 55.76 × 34.54
  4. Step 4: Simplify right side
    37.26x = 1,925.95
  5. Step 5: Solve for x
    x = 1,925.95/37.26
  6. Step 6: Final answer
    x = 51.69

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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.