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Finding the Fourth Proportional to 116.42, 174.27 and 68.42

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Solution

The fourth proportional to 116.42, 174.27 and 68.42 is: 102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 174.27 = 68.42 : x
  2. Step 2: Convert to fraction form
    116.42/174.27 = 68.42/x
  3. Step 3: Cross multiply
    116.42x = 174.27 × 68.42
  4. Step 4: Simplify right side
    116.42x = 11,923.55
  5. Step 5: Solve for x
    x = 11,923.55/116.42
  6. Step 6: Final answer
    x = 102.42

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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.