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Finding the Fourth Proportional to 116.45, 175.49 and 109.61

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Solution

The fourth proportional to 116.45, 175.49 and 109.61 is: 165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.45 : 175.49 = 109.61 : x
  2. Step 2: Convert to fraction form
    116.45/175.49 = 109.61/x
  3. Step 3: Cross multiply
    116.45x = 175.49 × 109.61
  4. Step 4: Simplify right side
    116.45x = 19,235.46
  5. Step 5: Solve for x
    x = 19,235.46/116.45
  6. Step 6: Final answer
    x = 165.18

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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.