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Finding the Fourth Proportional to 116.66, 174.65 and 75.96

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Solution

The fourth proportional to 116.66, 174.65 and 75.96 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.66 : 174.65 = 75.96 : x
  2. Step 2: Convert to fraction form
    116.66/174.65 = 75.96/x
  3. Step 3: Cross multiply
    116.66x = 174.65 × 75.96
  4. Step 4: Simplify right side
    116.66x = 13,266.03
  5. Step 5: Solve for x
    x = 13,266.03/116.66
  6. Step 6: Final answer
    x = 113.72

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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.