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Finding the Fourth Proportional to 140.18, 193.44 and 84.92

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Solution

The fourth proportional to 140.18, 193.44 and 84.92 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.18 : 193.44 = 84.92 : x
  2. Step 2: Convert to fraction form
    140.18/193.44 = 84.92/x
  3. Step 3: Cross multiply
    140.18x = 193.44 × 84.92
  4. Step 4: Simplify right side
    140.18x = 16,426.92
  5. Step 5: Solve for x
    x = 16,426.92/140.18
  6. Step 6: Final answer
    x = 117.18

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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.