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Finding the Fourth Proportional to 164.23, 245.84 and 106.33

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Solution

The fourth proportional to 164.23, 245.84 and 106.33 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.23 : 245.84 = 106.33 : x
  2. Step 2: Convert to fraction form
    164.23/245.84 = 106.33/x
  3. Step 3: Cross multiply
    164.23x = 245.84 × 106.33
  4. Step 4: Simplify right side
    164.23x = 26,138.44
  5. Step 5: Solve for x
    x = 26,138.44/164.23
  6. Step 6: Final answer
    x = 159.16

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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.