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Finding the Fourth Proportional to 116.64, 173.96 and 113.88

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Solution

The fourth proportional to 116.64, 173.96 and 113.88 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 173.96 = 113.88 : x
  2. Step 2: Convert to fraction form
    116.64/173.96 = 113.88/x
  3. Step 3: Cross multiply
    116.64x = 173.96 × 113.88
  4. Step 4: Simplify right side
    116.64x = 19,810.00
  5. Step 5: Solve for x
    x = 19,810.00/116.64
  6. Step 6: Final answer
    x = 169.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.