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Finding the Fourth Proportional to 37.20, 55.37 and 36.40

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Solution

The fourth proportional to 37.20, 55.37 and 36.40 is: 54.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.20 : 55.37 = 36.40 : x
  2. Step 2: Convert to fraction form
    37.20/55.37 = 36.40/x
  3. Step 3: Cross multiply
    37.20x = 55.37 × 36.40
  4. Step 4: Simplify right side
    37.20x = 2,015.29
  5. Step 5: Solve for x
    x = 2,015.29/37.20
  6. Step 6: Final answer
    x = 54.17

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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.