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Finding the Fourth Proportional to 142.62, 196.82 and 107.60

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Solution

The fourth proportional to 142.62, 196.82 and 107.60 is: 148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.62 : 196.82 = 107.60 : x
  2. Step 2: Convert to fraction form
    142.62/196.82 = 107.60/x
  3. Step 3: Cross multiply
    142.62x = 196.82 × 107.60
  4. Step 4: Simplify right side
    142.62x = 21,176.31
  5. Step 5: Solve for x
    x = 21,176.31/142.62
  6. Step 6: Final answer
    x = 148.48

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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.