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Finding the Fourth Proportional to 144.80, 217.21 and 42.10

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Solution

The fourth proportional to 144.80, 217.21 and 42.10 is: 63.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 217.21 = 42.10 : x
  2. Step 2: Convert to fraction form
    144.80/217.21 = 42.10/x
  3. Step 3: Cross multiply
    144.80x = 217.21 × 42.10
  4. Step 4: Simplify right side
    144.80x = 9,143.89
  5. Step 5: Solve for x
    x = 9,143.89/144.80
  6. Step 6: Final answer
    x = 63.15

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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.