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Finding the Fourth Proportional to 164.21, 226.50 and 102.02

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Solution

The fourth proportional to 164.21, 226.50 and 102.02 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 226.50 = 102.02 : x
  2. Step 2: Convert to fraction form
    164.21/226.50 = 102.02/x
  3. Step 3: Cross multiply
    164.21x = 226.50 × 102.02
  4. Step 4: Simplify right side
    164.21x = 23,106.40
  5. Step 5: Solve for x
    x = 23,106.40/164.21
  6. Step 6: Final answer
    x = 140.72

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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.