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Finding the Fourth Proportional to 54.75, 75.54 and 34.01

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Solution

The fourth proportional to 54.75, 75.54 and 34.01 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 75.54 = 34.01 : x
  2. Step 2: Convert to fraction form
    54.75/75.54 = 34.01/x
  3. Step 3: Cross multiply
    54.75x = 75.54 × 34.01
  4. Step 4: Simplify right side
    54.75x = 2,568.74
  5. Step 5: Solve for x
    x = 2,568.74/54.75
  6. Step 6: Final answer
    x = 46.92

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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.