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Finding the Fourth Proportional to 112.70, 169.25 and 96.59

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Solution

The fourth proportional to 112.70, 169.25 and 96.59 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 169.25 = 96.59 : x
  2. Step 2: Convert to fraction form
    112.70/169.25 = 96.59/x
  3. Step 3: Cross multiply
    112.70x = 169.25 × 96.59
  4. Step 4: Simplify right side
    112.70x = 16,346.53
  5. Step 5: Solve for x
    x = 16,346.53/112.70
  6. Step 6: Final answer
    x = 145.05

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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.