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Finding the Fourth Proportional to 54.18, 74.64 and 37.78

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Solution

The fourth proportional to 54.18, 74.64 and 37.78 is: 52.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.18 : 74.64 = 37.78 : x
  2. Step 2: Convert to fraction form
    54.18/74.64 = 37.78/x
  3. Step 3: Cross multiply
    54.18x = 74.64 × 37.78
  4. Step 4: Simplify right side
    54.18x = 2,819.90
  5. Step 5: Solve for x
    x = 2,819.90/54.18
  6. Step 6: Final answer
    x = 52.05

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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.