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Finding the Fourth Proportional to 164.11, 245.84 and 77.33

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Solution

The fourth proportional to 164.11, 245.84 and 77.33 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.11 : 245.84 = 77.33 : x
  2. Step 2: Convert to fraction form
    164.11/245.84 = 77.33/x
  3. Step 3: Cross multiply
    164.11x = 245.84 × 77.33
  4. Step 4: Simplify right side
    164.11x = 19,010.81
  5. Step 5: Solve for x
    x = 19,010.81/164.11
  6. Step 6: Final answer
    x = 115.84

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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.