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Finding the Fourth Proportional to 105.47, 144.18 and 105.47

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Solution

The fourth proportional to 105.47, 144.18 and 105.47 is: 144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 144.18 = 105.47 : x
  2. Step 2: Convert to fraction form
    105.47/144.18 = 105.47/x
  3. Step 3: Cross multiply
    105.47x = 144.18 × 105.47
  4. Step 4: Simplify right side
    105.47x = 15,205.94
  5. Step 5: Solve for x
    x = 15,205.94/105.47
  6. Step 6: Final answer
    x = 144.18

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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.