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Finding the Fourth Proportional to 76.69, 105.82 and 61.19

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Solution

The fourth proportional to 76.69, 105.82 and 61.19 is: 84.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 105.82 = 61.19 : x
  2. Step 2: Convert to fraction form
    76.69/105.82 = 61.19/x
  3. Step 3: Cross multiply
    76.69x = 105.82 × 61.19
  4. Step 4: Simplify right side
    76.69x = 6,475.13
  5. Step 5: Solve for x
    x = 6,475.13/76.69
  6. Step 6: Final answer
    x = 84.43

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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.