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Finding the Fourth Proportional to 54.62, 75.34 and 37.13

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Solution

The fourth proportional to 54.62, 75.34 and 37.13 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.62 : 75.34 = 37.13 : x
  2. Step 2: Convert to fraction form
    54.62/75.34 = 37.13/x
  3. Step 3: Cross multiply
    54.62x = 75.34 × 37.13
  4. Step 4: Simplify right side
    54.62x = 2,797.37
  5. Step 5: Solve for x
    x = 2,797.37/54.62
  6. Step 6: Final answer
    x = 51.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.