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Finding the Fourth Proportional to 116.97, 175.38 and 35.80

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Solution

The fourth proportional to 116.97, 175.38 and 35.80 is: 53.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.97 : 175.38 = 35.80 : x
  2. Step 2: Convert to fraction form
    116.97/175.38 = 35.80/x
  3. Step 3: Cross multiply
    116.97x = 175.38 × 35.80
  4. Step 4: Simplify right side
    116.97x = 6,278.60
  5. Step 5: Solve for x
    x = 6,278.60/116.97
  6. Step 6: Final answer
    x = 53.68

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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.