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Finding the Fourth Proportional to 140.02, 210.02 and 82.23

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Solution

The fourth proportional to 140.02, 210.02 and 82.23 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.02 : 210.02 = 82.23 : x
  2. Step 2: Convert to fraction form
    140.02/210.02 = 82.23/x
  3. Step 3: Cross multiply
    140.02x = 210.02 × 82.23
  4. Step 4: Simplify right side
    140.02x = 17,269.94
  5. Step 5: Solve for x
    x = 17,269.94/140.02
  6. Step 6: Final answer
    x = 123.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.