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Finding the Fourth Proportional to 144.83, 217.15 and 87.10

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Solution

The fourth proportional to 144.83, 217.15 and 87.10 is: 130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.83 : 217.15 = 87.10 : x
  2. Step 2: Convert to fraction form
    144.83/217.15 = 87.10/x
  3. Step 3: Cross multiply
    144.83x = 217.15 × 87.10
  4. Step 4: Simplify right side
    144.83x = 18,913.77
  5. Step 5: Solve for x
    x = 18,913.77/144.83
  6. Step 6: Final answer
    x = 130.59

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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.