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Finding the Fourth Proportional to 61.11, 83.82 and 53.82

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Solution

The fourth proportional to 61.11, 83.82 and 53.82 is: 73.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.11 : 83.82 = 53.82 : x
  2. Step 2: Convert to fraction form
    61.11/83.82 = 53.82/x
  3. Step 3: Cross multiply
    61.11x = 83.82 × 53.82
  4. Step 4: Simplify right side
    61.11x = 4,511.19
  5. Step 5: Solve for x
    x = 4,511.19/61.11
  6. Step 6: Final answer
    x = 73.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.