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Finding the Fourth Proportional to 164.28, 245.96 and 82.95

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Solution

The fourth proportional to 164.28, 245.96 and 82.95 is: 124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.28 : 245.96 = 82.95 : x
  2. Step 2: Convert to fraction form
    164.28/245.96 = 82.95/x
  3. Step 3: Cross multiply
    164.28x = 245.96 × 82.95
  4. Step 4: Simplify right side
    164.28x = 20,400.74
  5. Step 5: Solve for x
    x = 20,400.74/164.28
  6. Step 6: Final answer
    x = 124.19

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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.