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Finding the Fourth Proportional to 142.60, 196.34 and 135.40

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Solution

The fourth proportional to 142.60, 196.34 and 135.40 is: 186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.60 : 196.34 = 135.40 : x
  2. Step 2: Convert to fraction form
    142.60/196.34 = 135.40/x
  3. Step 3: Cross multiply
    142.60x = 196.34 × 135.40
  4. Step 4: Simplify right side
    142.60x = 26,584.44
  5. Step 5: Solve for x
    x = 26,584.44/142.60
  6. Step 6: Final answer
    x = 186.43

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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.