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Finding the Fourth Proportional to 54.39, 74.58 and 54.12

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Solution

The fourth proportional to 54.39, 74.58 and 54.12 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.39 : 74.58 = 54.12 : x
  2. Step 2: Convert to fraction form
    54.39/74.58 = 54.12/x
  3. Step 3: Cross multiply
    54.39x = 74.58 × 54.12
  4. Step 4: Simplify right side
    54.39x = 4,036.27
  5. Step 5: Solve for x
    x = 4,036.27/54.39
  6. Step 6: Final answer
    x = 74.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.