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Finding the Fourth Proportional to 37.08, 55.26 and 35.46

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Solution

The fourth proportional to 37.08, 55.26 and 35.46 is: 52.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.08 : 55.26 = 35.46 : x
  2. Step 2: Convert to fraction form
    37.08/55.26 = 35.46/x
  3. Step 3: Cross multiply
    37.08x = 55.26 × 35.46
  4. Step 4: Simplify right side
    37.08x = 1,959.52
  5. Step 5: Solve for x
    x = 1,959.52/37.08
  6. Step 6: Final answer
    x = 52.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.