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Finding the Fourth Proportional to 164.22, 245.91 and 82.95

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Solution

The fourth proportional to 164.22, 245.91 and 82.95 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.22 : 245.91 = 82.95 : x
  2. Step 2: Convert to fraction form
    164.22/245.91 = 82.95/x
  3. Step 3: Cross multiply
    164.22x = 245.91 × 82.95
  4. Step 4: Simplify right side
    164.22x = 20,398.23
  5. Step 5: Solve for x
    x = 20,398.23/164.22
  6. Step 6: Final answer
    x = 124.21

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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.