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Finding the Fourth Proportional to 144.83, 217.28 and 47.35

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Solution

The fourth proportional to 144.83, 217.28 and 47.35 is: 71.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.83 : 217.28 = 47.35 : x
  2. Step 2: Convert to fraction form
    144.83/217.28 = 47.35/x
  3. Step 3: Cross multiply
    144.83x = 217.28 × 47.35
  4. Step 4: Simplify right side
    144.83x = 10,288.21
  5. Step 5: Solve for x
    x = 10,288.21/144.83
  6. Step 6: Final answer
    x = 71.04

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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.