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Finding the Fourth Proportional to 210.96, 316.46 and 82.72

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Solution

The fourth proportional to 210.96, 316.46 and 82.72 is: 124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 316.46 = 82.72 : x
  2. Step 2: Convert to fraction form
    210.96/316.46 = 82.72/x
  3. Step 3: Cross multiply
    210.96x = 316.46 × 82.72
  4. Step 4: Simplify right side
    210.96x = 26,177.57
  5. Step 5: Solve for x
    x = 26,177.57/210.96
  6. Step 6: Final answer
    x = 124.09

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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.