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Finding the Fourth Proportional to 105.12, 145.44 and 85.68

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Solution

The fourth proportional to 105.12, 145.44 and 85.68 is: 118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 145.44 = 85.68 : x
  2. Step 2: Convert to fraction form
    105.12/145.44 = 85.68/x
  3. Step 3: Cross multiply
    105.12x = 145.44 × 85.68
  4. Step 4: Simplify right side
    105.12x = 12,461.30
  5. Step 5: Solve for x
    x = 12,461.30/105.12
  6. Step 6: Final answer
    x = 118.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.