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Finding the Fourth Proportional to 164.13, 245.84 and 83.00

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Solution

The fourth proportional to 164.13, 245.84 and 83.00 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.13 : 245.84 = 83.00 : x
  2. Step 2: Convert to fraction form
    164.13/245.84 = 83.00/x
  3. Step 3: Cross multiply
    164.13x = 245.84 × 83.00
  4. Step 4: Simplify right side
    164.13x = 20,403.08
  5. Step 5: Solve for x
    x = 20,403.08/164.13
  6. Step 6: Final answer
    x = 124.31

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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.