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Finding the Fourth Proportional to 112.60, 169.30 and 110.20

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Solution

The fourth proportional to 112.60, 169.30 and 110.20 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.60 : 169.30 = 110.20 : x
  2. Step 2: Convert to fraction form
    112.60/169.30 = 110.20/x
  3. Step 3: Cross multiply
    112.60x = 169.30 × 110.20
  4. Step 4: Simplify right side
    112.60x = 18,656.86
  5. Step 5: Solve for x
    x = 18,656.86/112.60
  6. Step 6: Final answer
    x = 165.69

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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.