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Finding the Fourth Proportional to 75.42, 113.07 and 54.57

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Solution

The fourth proportional to 75.42, 113.07 and 54.57 is: 81.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 113.07 = 54.57 : x
  2. Step 2: Convert to fraction form
    75.42/113.07 = 54.57/x
  3. Step 3: Cross multiply
    75.42x = 113.07 × 54.57
  4. Step 4: Simplify right side
    75.42x = 6,170.03
  5. Step 5: Solve for x
    x = 6,170.03/75.42
  6. Step 6: Final answer
    x = 81.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.