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Finding the Fourth Proportional to 140.24, 193.50 and 82.02

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Solution

The fourth proportional to 140.24, 193.50 and 82.02 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.24 : 193.50 = 82.02 : x
  2. Step 2: Convert to fraction form
    140.24/193.50 = 82.02/x
  3. Step 3: Cross multiply
    140.24x = 193.50 × 82.02
  4. Step 4: Simplify right side
    140.24x = 15,870.87
  5. Step 5: Solve for x
    x = 15,870.87/140.24
  6. Step 6: Final answer
    x = 113.17

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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.