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Finding the Fourth Proportional to 54.11, 74.64 and 37.77

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Solution

The fourth proportional to 54.11, 74.64 and 37.77 is: 52.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.11 : 74.64 = 37.77 : x
  2. Step 2: Convert to fraction form
    54.11/74.64 = 37.77/x
  3. Step 3: Cross multiply
    54.11x = 74.64 × 37.77
  4. Step 4: Simplify right side
    54.11x = 2,819.34
  5. Step 5: Solve for x
    x = 2,819.34/54.11
  6. Step 6: Final answer
    x = 52.11

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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.