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Finding the Fourth Proportional to 75.69, 113.97 and 55.54

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Solution

The fourth proportional to 75.69, 113.97 and 55.54 is: 83.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.69 : 113.97 = 55.54 : x
  2. Step 2: Convert to fraction form
    75.69/113.97 = 55.54/x
  3. Step 3: Cross multiply
    75.69x = 113.97 × 55.54
  4. Step 4: Simplify right side
    75.69x = 6,329.93
  5. Step 5: Solve for x
    x = 6,329.93/75.69
  6. Step 6: Final answer
    x = 83.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.