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Finding the Fourth Proportional to 140.92, 194.62 and 113.48

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Solution

The fourth proportional to 140.92, 194.62 and 113.48 is: 156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.92 : 194.62 = 113.48 : x
  2. Step 2: Convert to fraction form
    140.92/194.62 = 113.48/x
  3. Step 3: Cross multiply
    140.92x = 194.62 × 113.48
  4. Step 4: Simplify right side
    140.92x = 22,085.48
  5. Step 5: Solve for x
    x = 22,085.48/140.92
  6. Step 6: Final answer
    x = 156.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.