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Finding the Fourth Proportional to 140.92, 194.44 and 89.16

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Solution

The fourth proportional to 140.92, 194.44 and 89.16 is: 123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.92 : 194.44 = 89.16 : x
  2. Step 2: Convert to fraction form
    140.92/194.44 = 89.16/x
  3. Step 3: Cross multiply
    140.92x = 194.44 × 89.16
  4. Step 4: Simplify right side
    140.92x = 17,336.27
  5. Step 5: Solve for x
    x = 17,336.27/140.92
  6. Step 6: Final answer
    x = 123.02

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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.