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Finding the Fourth Proportional to 164.19, 226.59 and 102.02

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Solution

The fourth proportional to 164.19, 226.59 and 102.02 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.19 : 226.59 = 102.02 : x
  2. Step 2: Convert to fraction form
    164.19/226.59 = 102.02/x
  3. Step 3: Cross multiply
    164.19x = 226.59 × 102.02
  4. Step 4: Simplify right side
    164.19x = 23,116.71
  5. Step 5: Solve for x
    x = 23,116.71/164.19
  6. Step 6: Final answer
    x = 140.79

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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.