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Finding the Fourth Proportional to 54.15, 74.75 and 37.78

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Solution

The fourth proportional to 54.15, 74.75 and 37.78 is: 52.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.15 : 74.75 = 37.78 : x
  2. Step 2: Convert to fraction form
    54.15/74.75 = 37.78/x
  3. Step 3: Cross multiply
    54.15x = 74.75 × 37.78
  4. Step 4: Simplify right side
    54.15x = 2,824.06
  5. Step 5: Solve for x
    x = 2,824.06/54.15
  6. Step 6: Final answer
    x = 52.15

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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.