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Finding the Fourth Proportional to 84.53, 116.28 and 69.68

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Solution

The fourth proportional to 84.53, 116.28 and 69.68 is: 95.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.53 : 116.28 = 69.68 : x
  2. Step 2: Convert to fraction form
    84.53/116.28 = 69.68/x
  3. Step 3: Cross multiply
    84.53x = 116.28 × 69.68
  4. Step 4: Simplify right side
    84.53x = 8,102.68
  5. Step 5: Solve for x
    x = 8,102.68/84.53
  6. Step 6: Final answer
    x = 95.85

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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.