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Finding the Fourth Proportional to 146.71, 202.12 and 102.97

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Solution

The fourth proportional to 146.71, 202.12 and 102.97 is: 141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.71 : 202.12 = 102.97 : x
  2. Step 2: Convert to fraction form
    146.71/202.12 = 102.97/x
  3. Step 3: Cross multiply
    146.71x = 202.12 × 102.97
  4. Step 4: Simplify right side
    146.71x = 20,812.30
  5. Step 5: Solve for x
    x = 20,812.30/146.71
  6. Step 6: Final answer
    x = 141.86

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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.