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Finding the Fourth Proportional to 116.57, 174.95 and 94.02

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Solution

The fourth proportional to 116.57, 174.95 and 94.02 is: 141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.57 : 174.95 = 94.02 : x
  2. Step 2: Convert to fraction form
    116.57/174.95 = 94.02/x
  3. Step 3: Cross multiply
    116.57x = 174.95 × 94.02
  4. Step 4: Simplify right side
    116.57x = 16,449.03
  5. Step 5: Solve for x
    x = 16,449.03/116.57
  6. Step 6: Final answer
    x = 141.11

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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.