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Finding the Fourth Proportional to 54.96, 75.89 and 33.14

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Solution

The fourth proportional to 54.96, 75.89 and 33.14 is: 45.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.96 : 75.89 = 33.14 : x
  2. Step 2: Convert to fraction form
    54.96/75.89 = 33.14/x
  3. Step 3: Cross multiply
    54.96x = 75.89 × 33.14
  4. Step 4: Simplify right side
    54.96x = 2,514.45
  5. Step 5: Solve for x
    x = 2,514.45/54.96
  6. Step 6: Final answer
    x = 45.75

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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.