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Finding the Fourth Proportional to 146.82, 202.46 and 102.60

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Solution

The fourth proportional to 146.82, 202.46 and 102.60 is: 141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 202.46 = 102.60 : x
  2. Step 2: Convert to fraction form
    146.82/202.46 = 102.60/x
  3. Step 3: Cross multiply
    146.82x = 202.46 × 102.60
  4. Step 4: Simplify right side
    146.82x = 20,772.40
  5. Step 5: Solve for x
    x = 20,772.40/146.82
  6. Step 6: Final answer
    x = 141.48

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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.