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Finding the Fourth Proportional to 54.01, 74.52 and 40.24

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Solution

The fourth proportional to 54.01, 74.52 and 40.24 is: 55.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.01 : 74.52 = 40.24 : x
  2. Step 2: Convert to fraction form
    54.01/74.52 = 40.24/x
  3. Step 3: Cross multiply
    54.01x = 74.52 × 40.24
  4. Step 4: Simplify right side
    54.01x = 2,998.68
  5. Step 5: Solve for x
    x = 2,998.68/54.01
  6. Step 6: Final answer
    x = 55.52

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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.