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Finding the Fourth Proportional to 112.94, 169.15 and 84.10

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Solution

The fourth proportional to 112.94, 169.15 and 84.10 is: 125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.94 : 169.15 = 84.10 : x
  2. Step 2: Convert to fraction form
    112.94/169.15 = 84.10/x
  3. Step 3: Cross multiply
    112.94x = 169.15 × 84.10
  4. Step 4: Simplify right side
    112.94x = 14,225.73
  5. Step 5: Solve for x
    x = 14,225.73/112.94
  6. Step 6: Final answer
    x = 125.96

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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.