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Finding the Fourth Proportional to 114.56, 170.40 and 108.80

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Solution

The fourth proportional to 114.56, 170.40 and 108.80 is: 161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 170.40 = 108.80 : x
  2. Step 2: Convert to fraction form
    114.56/170.40 = 108.80/x
  3. Step 3: Cross multiply
    114.56x = 170.40 × 108.80
  4. Step 4: Simplify right side
    114.56x = 18,539.52
  5. Step 5: Solve for x
    x = 18,539.52/114.56
  6. Step 6: Final answer
    x = 161.83

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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.