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Finding the Fourth Proportional to 105.30, 144.72 and 94.50

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Solution

The fourth proportional to 105.30, 144.72 and 94.50 is: 129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 144.72 = 94.50 : x
  2. Step 2: Convert to fraction form
    105.30/144.72 = 94.50/x
  3. Step 3: Cross multiply
    105.30x = 144.72 × 94.50
  4. Step 4: Simplify right side
    105.30x = 13,676.04
  5. Step 5: Solve for x
    x = 13,676.04/105.30
  6. Step 6: Final answer
    x = 129.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.