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Finding the Fourth Proportional to 67.83, 93.77 and 61.83

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Solution

The fourth proportional to 67.83, 93.77 and 61.83 is: 85.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.83 : 93.77 = 61.83 : x
  2. Step 2: Convert to fraction form
    67.83/93.77 = 61.83/x
  3. Step 3: Cross multiply
    67.83x = 93.77 × 61.83
  4. Step 4: Simplify right side
    67.83x = 5,797.49
  5. Step 5: Solve for x
    x = 5,797.49/67.83
  6. Step 6: Final answer
    x = 85.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.