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Finding the Fourth Proportional to 164.29, 226.56 and 102.06

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Solution

The fourth proportional to 164.29, 226.56 and 102.06 is: 140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.29 : 226.56 = 102.06 : x
  2. Step 2: Convert to fraction form
    164.29/226.56 = 102.06/x
  3. Step 3: Cross multiply
    164.29x = 226.56 × 102.06
  4. Step 4: Simplify right side
    164.29x = 23,122.71
  5. Step 5: Solve for x
    x = 23,122.71/164.29
  6. Step 6: Final answer
    x = 140.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.