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Finding the Fourth Proportional to 75.75, 113.63 and 54.11

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Solution

The fourth proportional to 75.75, 113.63 and 54.11 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 113.63 = 54.11 : x
  2. Step 2: Convert to fraction form
    75.75/113.63 = 54.11/x
  3. Step 3: Cross multiply
    75.75x = 113.63 × 54.11
  4. Step 4: Simplify right side
    75.75x = 6,148.52
  5. Step 5: Solve for x
    x = 6,148.52/75.75
  6. Step 6: Final answer
    x = 81.17

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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.