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Finding the Fourth Proportional to 144.57, 216.32 and 86.83

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Solution

The fourth proportional to 144.57, 216.32 and 86.83 is: 129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 216.32 = 86.83 : x
  2. Step 2: Convert to fraction form
    144.57/216.32 = 86.83/x
  3. Step 3: Cross multiply
    144.57x = 216.32 × 86.83
  4. Step 4: Simplify right side
    144.57x = 18,783.23
  5. Step 5: Solve for x
    x = 18,783.23/144.57
  6. Step 6: Final answer
    x = 129.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.