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Finding the Fourth Proportional to 54.05, 74.55 and 51.59

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Solution

The fourth proportional to 54.05, 74.55 and 51.59 is: 71.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.05 : 74.55 = 51.59 : x
  2. Step 2: Convert to fraction form
    54.05/74.55 = 51.59/x
  3. Step 3: Cross multiply
    54.05x = 74.55 × 51.59
  4. Step 4: Simplify right side
    54.05x = 3,846.03
  5. Step 5: Solve for x
    x = 3,846.03/54.05
  6. Step 6: Final answer
    x = 71.16

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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.