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Finding the Fourth Proportional to 140.36, 193.32 and 135.68

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Solution

The fourth proportional to 140.36, 193.32 and 135.68 is: 186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.36 : 193.32 = 135.68 : x
  2. Step 2: Convert to fraction form
    140.36/193.32 = 135.68/x
  3. Step 3: Cross multiply
    140.36x = 193.32 × 135.68
  4. Step 4: Simplify right side
    140.36x = 26,229.66
  5. Step 5: Solve for x
    x = 26,229.66/140.36
  6. Step 6: Final answer
    x = 186.87

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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.