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Finding the Fourth Proportional to 116.22, 174.24 and 85.68

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Solution

The fourth proportional to 116.22, 174.24 and 85.68 is: 128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.22 : 174.24 = 85.68 : x
  2. Step 2: Convert to fraction form
    116.22/174.24 = 85.68/x
  3. Step 3: Cross multiply
    116.22x = 174.24 × 85.68
  4. Step 4: Simplify right side
    116.22x = 14,928.88
  5. Step 5: Solve for x
    x = 14,928.88/116.22
  6. Step 6: Final answer
    x = 128.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.