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Finding the Fourth Proportional to 140.42, 210.57 and 82.76

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Solution

The fourth proportional to 140.42, 210.57 and 82.76 is: 124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 210.57 = 82.76 : x
  2. Step 2: Convert to fraction form
    140.42/210.57 = 82.76/x
  3. Step 3: Cross multiply
    140.42x = 210.57 × 82.76
  4. Step 4: Simplify right side
    140.42x = 17,425.31
  5. Step 5: Solve for x
    x = 17,425.31/140.42
  6. Step 6: Final answer
    x = 124.10

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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.