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Finding the Fourth Proportional to 54.27, 74.88 and 37.89

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Solution

The fourth proportional to 54.27, 74.88 and 37.89 is: 52.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.27 : 74.88 = 37.89 : x
  2. Step 2: Convert to fraction form
    54.27/74.88 = 37.89/x
  3. Step 3: Cross multiply
    54.27x = 74.88 × 37.89
  4. Step 4: Simplify right side
    54.27x = 2,837.20
  5. Step 5: Solve for x
    x = 2,837.20/54.27
  6. Step 6: Final answer
    x = 52.28

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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.