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Finding the Fourth Proportional to 215.63, 323.45 and 83.81

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Solution

The fourth proportional to 215.63, 323.45 and 83.81 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.63 : 323.45 = 83.81 : x
  2. Step 2: Convert to fraction form
    215.63/323.45 = 83.81/x
  3. Step 3: Cross multiply
    215.63x = 323.45 × 83.81
  4. Step 4: Simplify right side
    215.63x = 27,108.34
  5. Step 5: Solve for x
    x = 27,108.34/215.63
  6. Step 6: Final answer
    x = 125.72

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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.