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Finding the Fourth Proportional to 164.07, 245.91 and 82.74

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Solution

The fourth proportional to 164.07, 245.91 and 82.74 is: 124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.07 : 245.91 = 82.74 : x
  2. Step 2: Convert to fraction form
    164.07/245.91 = 82.74/x
  3. Step 3: Cross multiply
    164.07x = 245.91 × 82.74
  4. Step 4: Simplify right side
    164.07x = 20,346.59
  5. Step 5: Solve for x
    x = 20,346.59/164.07
  6. Step 6: Final answer
    x = 124.01

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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.