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Finding the Fourth Proportional to 144.77, 216.21 and 115.92

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Solution

The fourth proportional to 144.77, 216.21 and 115.92 is: 173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.77 : 216.21 = 115.92 : x
  2. Step 2: Convert to fraction form
    144.77/216.21 = 115.92/x
  3. Step 3: Cross multiply
    144.77x = 216.21 × 115.92
  4. Step 4: Simplify right side
    144.77x = 25,063.02
  5. Step 5: Solve for x
    x = 25,063.02/144.77
  6. Step 6: Final answer
    x = 173.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.