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Finding the Fourth Proportional to 164.17, 226.57 and 102

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Solution

The fourth proportional to 164.17, 226.57 and 102 is: 140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.17 : 226.57 = 102 : x
  2. Step 2: Convert to fraction form
    164.17/226.57 = 102/x
  3. Step 3: Cross multiply
    164.17x = 226.57 × 102
  4. Step 4: Simplify right side
    164.17x = 23,109.89
  5. Step 5: Solve for x
    x = 23,109.89/164.17
  6. Step 6: Final answer
    x = 140.77

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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.