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Finding the Fourth Proportional to 116.96, 174.40 and 112.20

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Solution

The fourth proportional to 116.96, 174.40 and 112.20 is: 167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.96 : 174.40 = 112.20 : x
  2. Step 2: Convert to fraction form
    116.96/174.40 = 112.20/x
  3. Step 3: Cross multiply
    116.96x = 174.40 × 112.20
  4. Step 4: Simplify right side
    116.96x = 19,567.68
  5. Step 5: Solve for x
    x = 19,567.68/116.96
  6. Step 6: Final answer
    x = 167.30

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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.