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Finding the Fourth Proportional to 37.09, 55.40 and 35.02

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Solution

The fourth proportional to 37.09, 55.40 and 35.02 is: 52.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.09 : 55.40 = 35.02 : x
  2. Step 2: Convert to fraction form
    37.09/55.40 = 35.02/x
  3. Step 3: Cross multiply
    37.09x = 55.40 × 35.02
  4. Step 4: Simplify right side
    37.09x = 1,940.11
  5. Step 5: Solve for x
    x = 1,940.11/37.09
  6. Step 6: Final answer
    x = 52.31

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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.