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Finding the Fourth Proportional to 140.78, 194.25 and 99.32

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Solution

The fourth proportional to 140.78, 194.25 and 99.32 is: 137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 194.25 = 99.32 : x
  2. Step 2: Convert to fraction form
    140.78/194.25 = 99.32/x
  3. Step 3: Cross multiply
    140.78x = 194.25 × 99.32
  4. Step 4: Simplify right side
    140.78x = 19,292.91
  5. Step 5: Solve for x
    x = 19,292.91/140.78
  6. Step 6: Final answer
    x = 137.04

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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.