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Finding the Fourth Proportional to 116.95, 174.69 and 116.41

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Solution

The fourth proportional to 116.95, 174.69 and 116.41 is: 173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.95 : 174.69 = 116.41 : x
  2. Step 2: Convert to fraction form
    116.95/174.69 = 116.41/x
  3. Step 3: Cross multiply
    116.95x = 174.69 × 116.41
  4. Step 4: Simplify right side
    116.95x = 20,335.37
  5. Step 5: Solve for x
    x = 20,335.37/116.95
  6. Step 6: Final answer
    x = 173.88

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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.