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Finding the Fourth Proportional to 116.62, 175.77 and 110.00

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Solution

The fourth proportional to 116.62, 175.77 and 110.00 is: 165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.62 : 175.77 = 110.00 : x
  2. Step 2: Convert to fraction form
    116.62/175.77 = 110.00/x
  3. Step 3: Cross multiply
    116.62x = 175.77 × 110.00
  4. Step 4: Simplify right side
    116.62x = 19,335.14
  5. Step 5: Solve for x
    x = 19,335.14/116.62
  6. Step 6: Final answer
    x = 165.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.