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Finding the Fourth Proportional to 84.76, 116.94 and 55.68

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Solution

The fourth proportional to 84.76, 116.94 and 55.68 is: 76.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.76 : 116.94 = 55.68 : x
  2. Step 2: Convert to fraction form
    84.76/116.94 = 55.68/x
  3. Step 3: Cross multiply
    84.76x = 116.94 × 55.68
  4. Step 4: Simplify right side
    84.76x = 6,511.22
  5. Step 5: Solve for x
    x = 6,511.22/84.76
  6. Step 6: Final answer
    x = 76.82

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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.