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Finding the Fourth Proportional to 164.61, 227.13 and 102.42

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Solution

The fourth proportional to 164.61, 227.13 and 102.42 is: 141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 227.13 = 102.42 : x
  2. Step 2: Convert to fraction form
    164.61/227.13 = 102.42/x
  3. Step 3: Cross multiply
    164.61x = 227.13 × 102.42
  4. Step 4: Simplify right side
    164.61x = 23,262.65
  5. Step 5: Solve for x
    x = 23,262.65/164.61
  6. Step 6: Final answer
    x = 141.32

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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.