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Finding the Fourth Proportional to 37.11, 55.64 and 35.22

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Solution

The fourth proportional to 37.11, 55.64 and 35.22 is: 52.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.11 : 55.64 = 35.22 : x
  2. Step 2: Convert to fraction form
    37.11/55.64 = 35.22/x
  3. Step 3: Cross multiply
    37.11x = 55.64 × 35.22
  4. Step 4: Simplify right side
    37.11x = 1,959.46
  5. Step 5: Solve for x
    x = 1,959.46/37.11
  6. Step 6: Final answer
    x = 52.80

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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.