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Finding the Fourth Proportional to 116.08, 174.14 and 42.96

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Solution

The fourth proportional to 116.08, 174.14 and 42.96 is: 64.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.08 : 174.14 = 42.96 : x
  2. Step 2: Convert to fraction form
    116.08/174.14 = 42.96/x
  3. Step 3: Cross multiply
    116.08x = 174.14 × 42.96
  4. Step 4: Simplify right side
    116.08x = 7,481.05
  5. Step 5: Solve for x
    x = 7,481.05/116.08
  6. Step 6: Final answer
    x = 64.45

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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.