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Finding the Fourth Proportional to 140.19, 210.21 and 82.42

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Solution

The fourth proportional to 140.19, 210.21 and 82.42 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.19 : 210.21 = 82.42 : x
  2. Step 2: Convert to fraction form
    140.19/210.21 = 82.42/x
  3. Step 3: Cross multiply
    140.19x = 210.21 × 82.42
  4. Step 4: Simplify right side
    140.19x = 17,325.51
  5. Step 5: Solve for x
    x = 17,325.51/140.19
  6. Step 6: Final answer
    x = 123.59

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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.